COLLEGE ALG.+TRIG.-LOOSELEAF
17th Edition
ISBN: 9781264652471
Author: Miller
Publisher: MCG
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Chapter 1.4, Problem 48PE
To determine
To find: The solution by applying the quadratic property.
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Students have asked these similar questions
In Exercises 11–12, find the solution set for each equation.
11. |5x + 3| = 7
12. |6x + 1| = [4x + 15||
For Exercises 107–108, solve the equation in two ways.
a. Solve as a radical equation by first isolating the radical.
b. Solve by writing the equation in quadratic form and using an appropriate substitution.
107. y + 4Vy = 21
108. w – 3Vw = 10
Exercises 105-120: Complete the following.
(a) Write the equation as ax² + bx + e = 0 with a > 0.
(b) Calculate the discriminant b² – 4ac and determine the
number of real solutions.
(c) Solve the equation.
105. 3x² = 12
106. 8x - 2 = 14
107. x² – 2x = -1
108. 6x² = 4x
109. 4x = x?
110. 16x + 9 = 24x
111. x² + 1 = x
112. 2x² + x = 2
113. 2x² + 3x = 12 – 2x 114. 3x² + 3 = 5x
115. x(x – 4) = -4
116. + 3x = x – 4
117. x(x + 2) = -13
118. 4x = 6 + x?
119. 3x = 1- x
120. x(5x – 3) = 1
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- Solve the following quadratic equation for all values of x in simplest form. 2(x + 10)2 – 37 = 13 - Answer: Submit Answer 士arrow_forwardExercises 59–66: Use the intersection-of-graphs method to solve the equation. Then solve symbolically. 63. -х + 4 %3D 3хarrow_forwardonly (d,e,f) solve pleasearrow_forward
- Practice PLUS Exercises 65–68 describe quadratic equations. Match each description with the graph of the corresponding quadratic function. Each graph is shown in a [-10, 10, 1] by [–10, 10, 1] viewing rectangle. 65. A quadratic equation whose solution set contains imaginary numbers 66. A quadratic equation whose discriminant is 0 67. A quadratic equation whose solution set is {3 ± V2} 68. A quadratic equation whose solution set contains integers а. b. C. d. 69. When the sum of 6 and twice a positive number is subtracted from the square of the number, 0 results. Find the number. 70. When the sum of 1 and twice a negative number isarrow_forwardIn the quadratic equation Ax2+ Bx + C=0• describe the roots when B² – 4AC is positive. O The roots are real and distinct. The roots are complex conjugates. O The roots are real and equal. O The roots are complex and equal.arrow_forwardA 50-foot ladder leans against a wall so that it is 40 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 30 – 2x be the distance from the base of the ladder to the wall.) 12 2x The top of the ladder is feet higher now.arrow_forward
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