Solving Quadratic Equations: Completing the Square

Question 1

Which are the solutions of the quadratic equation?x2 = 7x + 4

Revolt · Accepted Answer

StartFraction 7 minus StartRoot 65 EndRoot Over 2 EndFraction comma StartFraction 7 + StartRoot 65 EndRoot Over 2 EndFraction

Question 2

Solve x2 + 14x = −24 by completing the square.What is the solution set of the equation?

Revolt · Accepted Answer

{−12, −2}

Question 3

Which are the solutions of the quadratic equation?x2 = –5x – 3

Revolt · Accepted Answer

StartFraction negative 5 minus StartRoot 13 EndRoot Over 2 EndFraction comma StartFraction negative 5 + StartRoot 13 EndRoot Over 2 EndFraction

Question 4

Bao Yu is completing the square to solve the polynomial equation.x2 – x – 3 = 0

Revolt · Accepted Answer

isolating the constant, –3

Question 5

Which are the solutions of x2 = –11x + 4?

Revolt · Accepted Answer

StartFraction negative 11 minus StartRoot 137 EndRoot Over 2 EndFraction comma StartFraction negative 11 + StartRoot 137 EndRoot Over 2 EndFraction

Question 6

What value of c makes x2 + 6x + c a perfect square trinomial?

Revolt · Accepted Answer

9

Question 7

Which are the solutions of the quadratic equation?x2 = 9x + 6

Revolt · Accepted Answer

StartFraction 9 minus StartRoot 105 EndRoot Over 2 EndFraction comma StartFraction 9 + StartRoot 105 EndRoot Over 2 EndFraction

Question 8

What value of c makes x2 − 24x + c a perfect square trinomial?

Revolt · Accepted Answer

144

Question 9

Which are the solutions of x2 = –13x – 4?

Revolt · Accepted Answer

StartFraction negative 13 minus StartRoot 153 EndRoot Over 2 EndFraction comma StartFraction negative 13 + StartRoot 153 EndRoot Over 2 EndFraction

Question 10

Which are the solutions of x2 = –5x + 8?

Revolt · Accepted Answer

StartFraction negative 5 minus StartRoot 57 EndRoot Over 2 EndFraction comma StartFraction negative 5 + StartRoot 57 EndRoot Over 2 EndFraction

Solving Quadratic Equations: Completing the Square Answers