Solving Quadratic Equations: Completing the Square

Question 1

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

Revolt · Accepted Answer

{−12, −2}

Question 2

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

Revolt · Accepted Answer

144

Question 3

What number should be added to both sides of the equation to complete the square?x2 + 3x = 6

Revolt · Accepted Answer

(StartFraction 3 Over 2 EndFraction) squared

Question 4

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

Revolt · Accepted Answer

9

Question 5

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 6

What number should be added to both sides of the equation to complete the square?x2 + 8x = 4

Revolt · Accepted Answer

16

Question 7

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 8

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 9

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

Revolt · Accepted Answer

isolating the constant, –3

Question 10

Which are the solutions of x2 = 19x + 1?

Revolt · Accepted Answer

StartFraction 19 minus StartRoot 365 EndRoot Over 2 EndFraction comma StartFraction 19 + StartRoot 365 EndRoot Over 2 EndFraction

Solving Quadratic Equations: Completing the Square Answers