Solving Quadratic Equations: Completing the Square

Question 1

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

Revolt · Accepted Answer

C: 9

Question 2

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

Revolt · Accepted Answer

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

Question 3

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

Revolt · Accepted Answer

D: isolating the constant, –3

Question 4

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

Revolt · Accepted Answer

A: {−12, −2}

Question 5

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

Revolt · Accepted Answer

D: 144

Question 6

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

Revolt · Accepted Answer

B: (StartFraction 3 Over 2 EndFraction) squared

Question 7

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

Revolt · Accepted Answer

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

Question 8

What value of c makes x2 − 12x + c a perfect square trinomial?

Revolt · Accepted Answer

D: 36

Question 9

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

Revolt · Accepted Answer

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

Solving Quadratic Equations: Completing the Square Answers

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