Solving Quadratic Equations: Completing the Square

Question 1

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 2

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 3

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

Revolt · Accepted Answer

16

Question 4

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

Revolt · Accepted Answer

36

Question 5

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

Question 6

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

Revolt · Accepted Answer

isolating the constant, –3

Question 7

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

Question 8

Which are the solutions of x2 = –7x – 8?

Revolt · Accepted Answer

StartFraction negative 7 minus StartRoot 17 EndRoot Over 2 EndFraction comma StartFraction negative 7 + StartRoot 17 EndRoot Over 2 EndFraction

Question 9

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

Solving Quadratic Equations: Completing the Square Answers