Solving Quadratics by Completing the Square

Complete the square for
x² + 12x + ____

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144

Given the perfect square trinomial, identify the equivalent expression

• (x-18)²

• (x-9)²

• (x+81)²

• (x+9)²

• (x + 3)² = 5

• (x + 6)² = 9

• (x + 3)² = 14

• (x + 6)² = 14

• x = −1 and 11

• x = 1 and −11

• x = −10 and 11

• x = −5 and 25

• x = 3 and -4

• x = -3 and 4

• x = 3 and 4

• x = -3 and -4

• x = -1 ± √6

• x = 1 ± √6

• x = 6 ± √1

• x = -6 ± √1

• x = -5 ± √30

• x = 5 ± √30

• x = 5 ± √5

• x = -5 ± √5

Which line contains a mathematical error when completing the square?

• Line 1

• Line 2

• Line 3

• Line 4

• There is no error

The work above shows the first two steps to solve by completing the square. Which description correctly describes the error that was made?

• They needed to add -1 to both sides.

• They needed to factor out the 2 so a = 1.

• They needed to take the square root of 4 first.

• They needed to add 4 to both sides.