Quadratics

Solve by Factoring

100

x² + 18 = 9x

x = 3, 6

200

n² - 64 = 0

n = -8, 8

300

2b² = -5b

b = 0, -5/2

400

3x² = 49 - 14x

x = 7/3, -7

Solve by Square Roots

100

x² + 25 = 26

x = 1, -1

200

4x² - 31 = 1

x = 2(rt2), -2(rt2)

300

x² + 2x - 9 = 2x

x = 3, -3

400

8 - 3x² = -154

x = 3(rt6), -3(rt6)

Solve by Graphing

100

f(x) = x² + 2

No Solution

200

f(x) = x² + 6x + 9

x = -3

300

f(x) = x² - 2x

x = 0, 2

3 Forms

100

What are the roots of the quadratic equation f(x) = -3(x + 2)(5x - 6)?

x = -2, 6/5

200

Convert f(x) = x² - 2x - 15 to vertex form.

f(x) = (x - 1)² - 16

300

What is the vertex of 5(x + 7)² + 6?

x = -7, 6

400

Convert f(x) = (x + 5)² - 1 to standard form.

f(x) = x² + 10x + 24