Solve Perfect Square Quadratics

Solve by taking square roots:
5b² - 4 = 41

• b = 9, b = -9

• b = 3, b = -3

• b = 8, b = -8

• no solutionb

Solve for m.
4m² + 10 = 38

• m = 7, -7

• m = 7

• m = √7

• m = √7, -√7

Mike solved the equation x² + 8x = 14 by completing the square. Which of the following equations is part of the correct solution.

• (x + 4)² = 14

• x² + 8x - 14 = 0

• (x + 4)² = 30

• x² + 8x + 4 = 18

What value of "c" would create a

perfect square trinomial?

x² + 10x + _____ = 17

• c = 20

• c = 100

• c = 25

• c = 10

Which formula do you use to find the "c-value" that makes a quadratic a perfect square trinomial?

Complete the square for

x² + 6x + ____

(find the missing value that goes in the blank)

• 9

• 12

• 36

• - 9

What do you do to the b value to correctly complete the square?

• square it

• divide it by 2 and square the result

• divide it by 2 and take the square root of the result

• divide it by 2 only

Find the missing value "c" to create a perfect square trinomial:
x² – 8x  + ___ 

• -4

• 16

• 4

• 8

Given the perfect square trinomial, identify the equivalent expression

• (x-18)²

• (x-9)²

• (x+81)²

• (x+9)²

Is this a perfect square trinomial?
x² + 10x + 25

• Yes

• No