Completing The Square

Question 1

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 2

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

Revolt · Accepted Answer

One-fourth

Question 3

Solve for in the equation .

Revolt · Accepted Answer

x = 2 plus-or-minus StartRoot 42 EndRoot

Question 4

Solve for in the equation .

Revolt · Accepted Answer

x = five-fourths plus-or-minus StartFraction StartRoot 41 EndRoot Over 4 EndFraction

Question 5

What are the solutions of ?

Revolt · Accepted Answer

or

Question 6

Solve for in the equation .

Revolt · Accepted Answer

x = –7 ± 8i

Question 7

Use completing the square to solve for in the equation .

Revolt · Accepted Answer

x = 1 plus-or-minus StartRoot 89 EndRoot

Question 8

Solve for in the equation .

Revolt · Accepted Answer

x = 1 plus-or-minus StartRoot 47 EndRoot

Question 9

Solve for in the equation .

Revolt · Accepted Answer

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

Question 10

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

Revolt · Accepted Answer

36

Completing The Square Answers