Show that the equation 6x4 – 7x +1 = 0 does not have more than two distinct real roots.

Q: Find the roots of the quadratic equation x + 2x - 3 = 0.

A: We will find the root by two methods first by splitting the middle term and second by discriminant…

Q: Find the roots of 2x2-2(√2x) +1=0,If they  exist using quadratic formula

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Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

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Q: find all real solutions of 5=√4x-3

A: Given: 5=4x-3 Now squaring on both sides, we get, ⇒25=4x-3⇒25+3=4x⇒28=4x⇒x=7

Q: 8. Use the quadratic formula to determine each of the roots of -7x - 23x = - 10 to two decimal…

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Q: Construct an equation whose roots are lees than 4 of the roots of x^3+3x^2-12x-10=0

A: Answer

Q: Use the guadratic formula to solve for x. 2x-6x-1=0 (If there is more than one solution, separate…

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Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

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Q: Find all real solutions of the equation. 2x2 + x = 1

A: Solution: Consider the given that : 2x2 + x = 1 Therefore 2x2 + x - 1 = 0 This is quadratic in x…

Q: The quotient rule for square roots states that if a and be are nonnegative and b doesn't equal…

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Q: Find all real solutions of the equation. 0 = x2 - 4x + 1

A: The given equation is 0=x2-4x+1

Q: 3x248 93x ン

A: 3x2+8 = 93xx = ?

Q: By using the method of completing the square. Show that the equation 4x2 + 3x + 5 = 0 has no real…

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Q: 4. Form the equation whose roots are the multiplicative inverses of the roots of 3x2 + 10x – 8 = 0.

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Q: Construct an equation whose roots are less than 4 of the roots of x'+3x –12x-10=0

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Q: Find all real solutions of the equation.

A: Given: xx+2-3=1x+2

Q: Find all real solutions of the equation.

A: x2x+7-x+1x+3=1 Simplify left side of given equation  Make common denominator of left side…

Q: Show that the equation x2 + y2 = 2003 has no solutions in the integers.

A: Consider the given equation: Here the objective is to show that the above given equation has no…

Q: Find the real solutions of (2x-1)2-3(2x-1)-4=0

A: Let 2x-1=y Then  equation becomes (y)2-3(y)-4=0

Q: Find all real solutions of the equation.

A: The given equation is, 2xx2+1=1 On simplifying the equation, we get 2xx2+1=1x2+1=2xx2-2x+1=0

Q: Find the roots of 2x quadratic equation - 2/x2 +1 = 0,if they exist using the

A: Given equation is 2x2-22x+1=0 find the roots of the quadratic equation

Q: 16. Use the quadratic formula to solve for x: 2x 11=-14x

A: The given quadratic equation is  2x2+11 = - 14x

Q: Find k in the equation 4x2 + kx + 1 = 0 so that it will only have one real root.

A: A detailed solution is given below.

Q: show that the equation x^5+2x^3+3x-4=0 has exactly one root. Justify your answer.

A: Given equation has only one root. Here is its explanation.

Q: Find all real solutions of the equation. 7x3 - x + 1 = x3 + 3x2 + x

A: To find: The real solution of the equation: Given: The equation is 7x3-x+1=x3+3x2+x. Concept used:…

Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

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Q: Find the real solutions of x2 - x - 1 = 0.

A: x2−x−1=0x=−b±b2−4ac2aHere,x=−−1±−12−4⋅ 1⋅−12⋅ 1

Q: 3x2+8 ン

A:

Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

A: Given, -7x2-5x-3=0

Q: Show that the cubic equation 2x3−3x2−15=0 has a solution in the interval (2,3).

A: Cubic Equation: Let f(x)=2x3-3x2-15We need find that there is a solution between (2,3)

Q: Find the roots of -x3 + 9x2 -18x = 0

A: Solution: The objective is to find the roots of the given equation

Q: Find all real solutions of the equation.

A: Given: 5=4x-3

Q: Find all real solutions of the equation. (3x + 5)4 - (3x + 5)3 = 0

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Q: The equation x - 4kx + 10 – 6k = 0 will have two equal roots if the value of k is:

A:

Q: Find all real solutions of the equation.

A: Given, x+1x-1=2x-12x+1

Q: Show that in general, the sum of the roots of a quadratic equation ax² + bx + c = 0 is whereas the…

A: We have to solve given problem:

Q: quadratic

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Q: Find the real solutions of the equation: (√2x + 3) - (√x + 2) = 2

A: Given equation is 2x+3-x+2=2. To find the real solutions of the equation. Solution: Given equation…

Q: 2. In the equation x² + 40x +n = 0 , findn if one root is 3 times larger than the other root.…

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Q: Is there a real number ______ whose square is -1? b. Does there exist _____ such that x 2 = −1?

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Q: Compute the ralue of the discriminant and give the number of realSolutions of the quadratic…

A: we have to find the discriminant and the number of real solutions

Q: e and p are the roots of the quadratic equation x2+ 5x– 13 = 0, form a quadratic equation in x whose…

A: Given,            α and β are the roots of the quadratic equation x2 + 5x - 13 =0

Q: If a and 3 are the roots of the quadratic 3x2 – 4x + 6 = 0, find the value of

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Q: Find all real solutions of the equation (x – 3) = 9. and x2 = with x1 < 2

A: The solution is given below

Q: Find the quadratic equation whose roots are three times the roots of 3x2 +2x+3=0.

A: To find the quadratic equation whose roots are three times the roots of the quadratic…

Q: Find all real solutions of the equation.

A: Given: The equation is xx+3 =2x-3 -1x2-9 .