BuyFind

Applied Calculus

7th Edition
Waner + 1 other
Publisher: Cengage Learning,
ISBN: 9781337291248
BuyFind

Applied Calculus

7th Edition
Waner + 1 other
Publisher: Cengage Learning,
ISBN: 9781337291248

Solutions

Chapter
Section
Chapter 0.5, Problem 27E
Textbook Problem

By any method, determine all possible real solutions of each equation in Exercises 13–30. Check your answers by substitution.

x 4 10 x 2 + 9 = 0

Expert Solution
To determine

To calculate: The all real solutions in the polynomial equation x410x2+9=0.

Explanation of Solution

Given Information:

The provided polynomial equation is x410x2+9=0.

Formula used:

Principle of zero product rule:

An equation AB=0 is true if and only if A=0 or B=0, both.

A product is zero if and only if at least one factor is zero.

Calculation:

Consider the polynomial equation x410x2+9=0.

Factor the above equation,

x410x2+9=0x4(9+1)x2+9=0x49x2x2+9=0x2(x29)1(x29)=0(x29)(x21)=0

If (x29)=0 then,

Add 9 on both sides in the above equation,

x29+9=0+9x2+0=9x2=9

Take square root from both sides,

x2=9x=±3

If (x21)=0 then,

Add 1 on both sides in the above equation,

x21+1=0+1x2+0=1x2=1

Take square root from both sides,

x2=1x=±1

Check:

For x=1

Substitute the value of x=1 in x410x2+9=0.

x410x2+9=0(1)410(1)2+9=?0110+9=?00=0

Which is true

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Chapter 0 Solutions

Applied Calculus
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Ch. 0.1 - Calculate each expression in Exercises 124, giving...Ch. 0.1 - Calculate each expression in Exercises 124, giving...Ch. 0.1 - Calculate each expression in Exercises 124, giving...Ch. 0.1 - Calculate each expression in Exercises 124, giving...Ch. 0.1 - Calculate each expression in Exercises 124, giving...Ch. 0.1 - Calculate each expression in Exercises 124, giving...Ch. 0.1 - Calculate each expression in Exercises 124, giving...Ch. 0.1 - Calculate each expression in Exercises 124, giving...Ch. 0.1 - Calculate each expression in Exercises 124, giving...Ch. 0.1 - Calculate each expression in Exercises 124, giving...Ch. 0.1 - Calculate each expression in Exercises 124, giving...Ch. 0.1 - Calculate each expression in Exercises 124, giving...Ch. 0.1 - Calculate each expression in Exercises 124, giving...Ch. 0.1 - Calculate each expression in Exercises 124, giving...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.2 - Evaluate the expression sin Exercises 116. 33Ch. 0.2 - Evaluate the expression sin Exercises 116. (2)3Ch. 0.2 - Evaluate the expression sin Exercises 116. (23)2Ch. 0.2 - Evaluate the expression sin Exercises 116. (42)2Ch. 0.2 - Evaluate the expression sin Exercises 116. (23)2Ch. 0.2 - Evaluate the expression sin Exercises 116. (32)3Ch. 0.2 - Evaluate the expression sin Exercises 116. (2)3Ch. 0.2 - Evaluate the expression sin Exercises 116. 23Ch. 0.2 - Evaluate the expression sin Exercises 116. (14)2Ch. 0.2 - Evaluate the expression sin Exercises 116. (23)2Ch. 0.2 - Evaluate the expression sin Exercises 116. 230Ch. 0.2 - Evaluate the expression sin Exercises 116. 3(2)0Ch. 0.2 - Evaluate the expression sin Exercises 116. 2322Ch. 0.2 - Evaluate the expression sin Exercises 116. 323Ch. 0.2 - Evaluate the expression sin Exercises 116....Ch. 0.2 - Evaluate the expression sin Exercises 116....Ch. 0.2 - Simplify each expression in Exercises 1730,...Ch. 0.2 - Simplify each expression in Exercises 1730,...Ch. 0.2 - Simplify each expression in Exercises 1730,...Ch. 0.2 - Simplify each expression in Exercises 1730,...Ch. 0.2 - Simplify each expression in Exercises 1730,...Ch. 0.2 - Simplify each expression in Exercises 1730,...Ch. 0.2 - Simplify each expression in Exercises 1730,...Ch. 0.2 - Simplify each expression in Exercises 1730,...Ch. 0.2 - Simplify each expression in Exercises 1730,...Ch. 0.2 - Simplify each expression in Exercises 1730,...Ch. 0.2 - Simplify each expression in Exercises 1730,...Ch. 0.2 - Simplify each expression in Exercises 1730,...Ch. 0.2 - Simplify each expression in Exercises 1730,...Ch. 0.2 - Simplify each expression in Exercises 1730,...Ch. 0.2 - Convert the expressions in Exercises 31-36 to...Ch. 0.2 - Convert the expressions in Exercises 31-36 to...Ch. 0.2 - Convert the expressions in Exercises 31-36 to...Ch. 0.2 - Convert the expressions in Exercises 31-36 to...Ch. 0.2 - Convert the expressions in Exercises 31-36 to...Ch. 0.2 - Convert the expressions in Exercises 31-36 to...Ch. 0.2 - Evaluate expressions in Exercises 3756, rounding...Ch. 0.2 - Evaluate expressions in Exercises 3756, rounding...Ch. 0.2 - Evaluate expressions in Exercises 3756, rounding...Ch. 0.2 - Evaluate expressions in Exercises 3756, rounding...Ch. 0.2 - Evaluate expressions in Exercises 3756, rounding...Ch. 0.2 - Evaluate expressions in Exercises 3756, rounding...Ch. 0.2 - Evaluate expressions in Exercises 3756, rounding...Ch. 0.2 - Evaluate expressions in Exercises 3756, rounding...Ch. 0.2 - Evaluate expressions in Exercises 3756, rounding...Ch. 0.2 - Evaluate expressions in Exercises 3756, rounding...Ch. 0.2 - Evaluate expressions in Exercises 3756, rounding...Ch. 0.2 - Evaluate expressions in Exercises 3756, rounding...Ch. 0.2 - Evaluate expressions in Exercises 3756, rounding...Ch. 0.2 - Evaluate expressions in Exercises 3756, rounding...Ch. 0.2 - Evaluate expressions in Exercises 3756, rounding...Ch. 0.2 - Evaluate expressions in Exercises 3756, rounding...Ch. 0.2 - Evaluate expressions in Exercises 3756, rounding...Ch. 0.2 - Evaluate expressions in Exercises 3756, rounding...Ch. 0.2 - Evaluate expressions in Exercises 3756, rounding...Ch. 0.2 - Evaluate expressions in Exercises 3756, rounding...Ch. 0.2 - Simplify the expressions in Exercises 5764, given...Ch. 0.2 - Simplify the expressions in Exercises 5764, given...Ch. 0.2 - Simplify the expressions in Exercises 5764, given...Ch. 0.2 - Simplify the expressions in Exercises 5764, given...Ch. 0.2 - Simplify the expressions in Exercises 5764, given...Ch. 0.2 - Simplify the expressions in Exercises 5764, given...Ch. 0.2 - Simplify the expressions in Exercises 5764, given...Ch. 0.2 - Simplify the expressions in Exercises 5764, given...Ch. 0.2 - Convert the expressions in Exercises 6584 to power...Ch. 0.2 - Convert the expressions in Exercises 6584 to power...Ch. 0.2 - Convert the expressions in Exercises 6584 to power...Ch. 0.2 - Convert the expressions in Exercises 6584 to power...Ch. 0.2 - Convert the expressions in Exercises 6584 to power...Ch. 0.2 - Convert the expressions in Exercises 6584 to power...Ch. 0.2 - Convert the expressions in Exercises 6584 to power...Ch. 0.2 - Convert the expressions in Exercises 6584 to power...Ch. 0.2 - Convert the expressions in Exercises 6584 to power...Ch. 0.2 - Convert the expressions in Exercises 6584 to power...Ch. 0.2 - Convert the expressions in Exercises 6584 to power...Ch. 0.2 - Convert the expressions in Exercises 6584 to power...Ch. 0.2 - Convert the expressions in Exercises 6584 to power...Ch. 0.2 - Convert the expressions in Exercises 6584 to power...Ch. 0.2 - Convert the expressions in Exercises 6584 to power...Ch. 0.2 - Convert the expressions in Exercises 6584 to power...Ch. 0.2 - Convert the expressions in Exercises 6584 to power...Ch. 0.2 - Convert the expressions in Exercises 6584 to power...Ch. 0.2 - Convert the expressions in Exercises 6584 to power...Ch. 0.2 - Convert the expressions in Exercises 6584 to power...Ch. 0.2 - Convert the expressions in Exercises 8596 radical...Ch. 0.2 - Convert the expressions in Exercises 8596 radical...Ch. 0.2 - Convert the expressions in Exercises 8596 radical...Ch. 0.2 - Convert the expressions in Exercises 8596 radical...Ch. 0.2 - Convert the expressions in Exercises 8596 radical...Ch. 0.2 - Convert the expressions in Exercises 8596 radical...Ch. 0.2 - Convert the expressions in Exercises 8596 radical...Ch. 0.2 - Convert the expressions in Exercises 8596 radical...Ch. 0.2 - Convert the expressions in Exercises 8596 radical...Ch. 0.2 - Convert the expressions in Exercises 8596 radical...Ch. 0.2 - Convert the expressions in Exercises 8596 radical...Ch. 0.2 - Convert the expressions in Exercises 8596 radical...Ch. 0.2 - Simplify the expressions in Exercises 97106....Ch. 0.2 - Simplify the expressions in Exercises 97106....Ch. 0.2 - Simplify the expressions in Exercises 97106....Ch. 0.2 - Simplify the expressions in Exercises 97106....Ch. 0.2 - Simplify the expressions in Exercises 97106....Ch. 0.2 - Simplify the expressions in Exercises 97106....Ch. 0.2 - Simplify the expressions in Exercises 97106....Ch. 0.2 - Simplify the expressions in Exercises 97106....Ch. 0.2 - Simplify the expressions in Exercises 97106....Ch. 0.2 - Simplify the expressions in Exercises 97106....Ch. 0.2 - Solve each equation in Exercises 107120 for x,...Ch. 0.2 - Solve each equation in Exercises 107120 for x,...Ch. 0.2 - Solve each equation in Exercises 107120 for x,...Ch. 0.2 - Solve each equation in Exercises 107120 for x,...Ch. 0.2 - Solve each equation in Exercises 107120 for x,...Ch. 0.2 - Solve each equation in Exercises 107120 for x,...Ch. 0.2 - Solve each equation in Exercises 107120 for x,...Ch. 0.2 - Solve each equation in Exercises 107120 for x,...Ch. 0.2 - Solve each equation in Exercises 107120 for x,...Ch. 0.2 - Solve each equation in Exercises 107120 for x,...Ch. 0.2 - Solve each equation in Exercises 107120 for x,...Ch. 0.2 - Solve each equation in Exercises 107120 for x,...Ch. 0.2 - Solve each equation in Exercises 107120 for x,...Ch. 0.2 - Solve each equation in Exercises 107120 for x,...Ch. 0.3 - Expand each expression in Exercises 122. x(4x+6)Ch. 0.3 - Expand each expression in Exercises 122. (4y2)yCh. 0.3 - Expand each expression in Exercises 122. (2xy)yCh. 0.3 - Expand each expression in Exercises 122. x(3x+y)Ch. 0.3 - Expand each expression in Exercises 122. (x+1)(x3)Ch. 0.3 - Expand each expression in Exercises 122....Ch. 0.3 - Expand each expression in Exercises 122....Ch. 0.3 - Expand each expression in Exercises 122....Ch. 0.3 - Expand each expression in Exercises 122. (2x3)2Ch. 0.3 - Expand each expression in Exercises 122. (3x+1)2Ch. 0.3 - Expand each expression in Exercises 122. (x+1x)2Ch. 0.3 - Expand each expression in Exercises 122. (y1y)2Ch. 0.3 - Expand each expression in Exercises 122....Ch. 0.3 - Expand each expression in Exercises 122....Ch. 0.3 - Expand each expression in Exercises 122....Ch. 0.3 - Expand each expression in Exercises 122....Ch. 0.3 - Expand each expression in Exercises 122....Ch. 0.3 - Expand each expression in Exercises 122....Ch. 0.3 - Expand each expression in Exercises 122. (x22x+1)2Ch. 0.3 - Expand each expression in Exercises 122. (x+yxy)2Ch. 0.3 - Expand each expression in Exercises 122....Ch. 0.3 - Expand each expression in Exercises 122....Ch. 0.3 - In Exercises 2330, factor each expression and...Ch. 0.3 - In Exercises 2330, factor each expression and...Ch. 0.3 - In Exercises 2330, factor each expression and...Ch. 0.3 - In Exercises 2330, factor each expression and...Ch. 0.3 - In Exercises 2330, factor each expression and...Ch. 0.3 - In Exercises 2330, factor each expression and...Ch. 0.3 - In Exercises 2330, factor each expression and...Ch. 0.3 - In Exercises 2330, factor each expression and...Ch. 0.3 - In Exercises 3148, (a) factor the given...Ch. 0.3 - In Exercises 3148, (a) factor the given...Ch. 0.3 - In Exercises 3148, (a) factor the given...Ch. 0.3 - In Exercises 3148, (a) factor the given...Ch. 0.3 - In Exercises 3148, (a) factor the given...Ch. 0.3 - In Exercises 3148, (a) factor the given...Ch. 0.3 - In Exercises 3148, (a) factor the given...Ch. 0.3 - In Exercises 3148, (a) factor the given...Ch. 0.3 - In Exercises 3148, (a) factor the given...Ch. 0.3 - In Exercises 3148, (a) factor the given...Ch. 0.3 - In Exercises 3148, (a) factor the given...Ch. 0.3 - In Exercises 3148, (a) factor the given...Ch. 0.3 - In Exercises 3148, (a) factor the given...Ch. 0.3 - In Exercises 3148, (a) factor the given...Ch. 0.3 - In Exercises 3148, (a) factor the given...Ch. 0.3 - In Exercises 3148, (a) factor the given...Ch. 0.3 - In Exercises 3148, (a) factor the given...Ch. 0.3 - In Exercises 3148, (a) factor the given...Ch. 0.4 - Rewrite each expression in Exercises 116 as a...Ch. 0.4 - Rewrite each expression in Exercises 116 as a...Ch. 0.4 - Rewrite each expression in Exercises 116 as a...Ch. 0.4 - Rewrite each expression in Exercises 116 as a...Ch. 0.4 - Rewrite each expression in Exercises 116 as a...Ch. 0.4 - Rewrite each expression in Exercises 116 as a...Ch. 0.4 - Rewrite each expression in Exercises 116 as a...Ch. 0.4 - Rewrite each expression in Exercises 116 as a...Ch. 0.4 - Rewrite each expression in Exercises 116 as a...Ch. 0.4 - Rewrite each expression in Exercises 116 as a...Ch. 0.4 - Rewrite each expression in Exercises 116 as a...Ch. 0.4 - Rewrite each expression in Exercises 116 as a...Ch. 0.4 - Rewrite each expression in Exercises 116 as a...Ch. 0.4 - Rewrite each expression in Exercises 116 as a...Ch. 0.4 - Rewrite each expression in Exercises 116 as a...Ch. 0.4 - Rewrite each expression in Exercises 116 as a...Ch. 0.5 - Solve the equations in Exercises 112 for x...Ch. 0.5 - Solve the equations in Exercises 112 for x...Ch. 0.5 - Solve the equations in Exercises 112 for x...Ch. 0.5 - Solve the equations in Exercises 112 for x...Ch. 0.5 - Solve the equations in Exercises 112 for x...Ch. 0.5 - Solve the equations in Exercises 112 for x...Ch. 0.5 - Solve the equations in Exercises 112 for x...Ch. 0.5 - Solve the equations in Exercises 112 for x...Ch. 0.5 - Solve the equations in Exercises 112 for x...Ch. 0.5 - Solve the equations in Exercises 112 for x...Ch. 0.5 - Solve the equations in Exercises 112 for x...Ch. 0.5 - Solve the equations in Exercises 112 for x...Ch. 0.5 - By any method, determine all possible real...Ch. 0.5 - By any method, determine all possible real...Ch. 0.5 - By any method, determine all possible real...Ch. 0.5 - By any method, determine all possible real...Ch. 0.5 - By any method, determine all possible real...Ch. 0.5 - By any method, determine all possible real...Ch. 0.5 - By any method, determine all possible real...Ch. 0.5 - By any method, determine all possible real...Ch. 0.5 - By any method, determine all possible real...Ch. 0.5 - By any method, determine all possible real...Ch. 0.5 - By any method, determine all possible real...Ch. 0.5 - By any method, determine all possible real...Ch. 0.5 - By any method, determine all possible real...Ch. 0.5 - By any method, determine all possible real...Ch. 0.5 - By any method, determine all possible real...Ch. 0.5 - By any method, determine all possible real...Ch. 0.5 - By any method, determine all possible real...Ch. 0.5 - By any method, determine all possible real...Ch. 0.5 - Find all possible real solutions of each equation...Ch. 0.5 - Find all possible real solutions of each equation...Ch. 0.5 - Find all possible real solutions of each equation...Ch. 0.5 - Find all possible real solutions of each equation...Ch. 0.5 - Find all possible real solutions of each equation...Ch. 0.5 - Find all possible real solutions of each equation...Ch. 0.5 - Find all possible real solutions of each equation...Ch. 0.5 - Find all possible real solutions of each equation...Ch. 0.5 - Find all possible real solutions of each equation...Ch. 0.5 - Find all possible real solutions of each equation...Ch. 0.5 - Find all possible real solutions of each equation...Ch. 0.5 - Find all possible real solutions of each equation...Ch. 0.5 - Find all possible real solutions of each equation...Ch. 0.5 - Find all possible real solutions of each equation...Ch. 0.6 - Solve the equations in Exercises 126. x43x3=0Ch. 0.6 - Solve the equations in Exercises 126. x69x4=0Ch. 0.6 - Solve the equations in Exercises 126. x44x2=4Ch. 0.6 - Solve the equations in Exercises 126. x4x2=6Ch. 0.6 - Solve the equations in Exercises 126....Ch. 0.6 - Solve the equations in Exercises 126....Ch. 0.6 - Solve the equations in Exercises 126....Ch. 0.6 - Solve the equations in Exercises 126....Ch. 0.6 - Solve the equations in Exercises 126....Ch. 0.6 - Solve the equations in Exercises 126....Ch. 0.6 - Solve the equations in Exercises 126....Ch. 0.6 - Solve the equations in Exercises 126....Ch. 0.6 - Solve the equations in Exercises 126....Ch. 0.6 - Solve the equations in Exercises 126....Ch. 0.6 - Solve the equations in Exercises 126....Ch. 0.6 - Solve the equations in Exercises 126....Ch. 0.6 - Solve the equations in Exercises 126....Ch. 0.6 - Solve the equations in Exercises 126....Ch. 0.6 - Solve the equations in Exercises 126. x1x=0Ch. 0.6 - Solve the equations in Exercises 126. 14x2=0Ch. 0.6 - Solve the equations in Exercises 126. 1x9x3=0Ch. 0.6 - Solve the equations in Exercises 126. 1x211+1=0Ch. 0.6 - Solve the equations in Exercises 126. x4x+1xx1=0Ch. 0.6 - Solve the equations in Exercises 126....Ch. 0.6 - Solve the equations in Exercises 126....Ch. 0.6 - Solve the equations in Exercises 126. 2x3x2x3x+1=0Ch. 0.7 - Referring to the following figure, determine the...Ch. 0.7 - Referring to the following figure, determine the...Ch. 0.7 - Graph the following points:...Ch. 0.7 - Graph the following points:...Ch. 0.7 - Sketch the graphs of the equations in Exercises...Ch. 0.7 - Sketch the graphs of the equations in Exercises...Ch. 0.7 - Sketch the graphs of the equations in Exercises...Ch. 0.7 - Sketch the graphs of the equations in Exercises...Ch. 0.7 - Sketch the graphs of the equations in Exercises...Ch. 0.7 - Sketch the graphs of the equations in Exercises...Ch. 0.7 - Sketch the graphs of the equations in Exercises...Ch. 0.7 - Sketch the graphs of the equations in Exercises...Ch. 0.7 - In Exercises 1316, find the distance between the...Ch. 0.7 - In Exercises 1316, find the distance between the...Ch. 0.7 - In Exercises 1316, find the distance between the...Ch. 0.7 - In Exercises 1316, find the distance between the...Ch. 0.7 - Find the value of k such that (1,k) is equidistant...Ch. 0.7 - Find the value of k such that (k,k) is equidistant...Ch. 0.7 - Describe the set of points (x,y) such that...Ch. 0.7 - Describe the set of points (x,y) such that...Ch. 0.8 - In Exercises 14, complete the given tables....Ch. 0.8 - In Exercises 14, complete the given tables....Ch. 0.8 - In Exercises 14, complete the given tables....Ch. 0.8 - In Exercises 14, complete the given tables....Ch. 0.8 - In Exercises 516, evaluate the given quantity....Ch. 0.8 - In Exercises 516, evaluate the given quantity....Ch. 0.8 - In Exercises 516, evaluate the given quantity....Ch. 0.8 - In Exercises 516, evaluate the given quantity....Ch. 0.8 - In Exercises 516, evaluate the given quantity....Ch. 0.8 - In Exercises 516, evaluate the given quantity....Ch. 0.8 - In Exercises 516, evaluate the given quantity....Ch. 0.8 - In Exercises 516, evaluate the given quantity....Ch. 0.8 - In Exercises 516, evaluate the given quantity....Ch. 0.8 - 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