Completing The Square

Question 1

Use completing the square to solve for in the equation .

Revolt · Accepted Answer

x = 1 plus-or-minus StartRoot 89 EndRoot

Question 2

Solve for in the equation .

Revolt · Accepted Answer

x = 1 plus-or-minus StartRoot 47 EndRoot

Question 3

Amira is solving the equation x2 – 6x = 1. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial?

Revolt · Accepted Answer

9

Question 4

Solve for in the equation .

Revolt · Accepted Answer

x = –12 or x = 2

Question 5

Which value must be added to the expression x2 + x to make it a perfect-square trinomial?

Revolt · Accepted Answer

One-fourth

Question 6

Solve for in the equation .

Revolt · Accepted Answer

x = –6 or x = 2

Question 7

Solve for in the equation .

Revolt · Accepted Answer

x = 2 plus-or-minus StartRoot 42 EndRoot

Question 8

Solve for in the equation .

Revolt · Accepted Answer

x = negative 1 plus-or-minus StartRoot 17 EndRoot

Question 9

Solve for in the equation .

Revolt · Accepted Answer

x = –16 or x = –4

Question 10

Which value must be added to the expression x2 + 16x to make it a perfect-square trinomial?

Revolt · Accepted Answer

64

Completing The Square Answers