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

Brian is solving the equation . What value must be added to both sides of the equation to make the left side a perfect-square trinomial?

Revolt · Accepted Answer

StartFraction 9 Over 64 EndFraction

Question 3

What are the solution(s) of ?

Revolt · Accepted Answer

or

Question 4

Solve for in the equation .

Revolt · Accepted Answer

x = 2 plus-or-minus StartRoot 42 EndRoot

Question 5

Solve for in the equation .

Revolt · Accepted Answer

x = 6 plus-or-minus StartRoot 23 EndRoot i

Question 6

Solve for in the equation .

Revolt · Accepted Answer

x = –12 or x = 2

Question 7

Solve for in the equation .

Revolt · Accepted Answer

x = –16 or x = –4

Question 8

Which value must be added to the expression x2 + 12x to make it a perfect-square trinomial?

Revolt · Accepted Answer

36

Question 9

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

Revolt · Accepted Answer

64

Question 10

Solve for in the equation .

Revolt · Accepted Answer

x = 5 plus-or-minus StartRoot 35 EndRoot

Completing The Square Answers