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Factoring

100

x² + 12x + 20

(x+10)(x+2)

200

a2 - 10a + 21

(a-7)(a-3)

300

a² + 2a - 195

(a + 15)(a - 13)

400

2x² - 3x - 27

(2x - 9)(x + 3)

500

2x² + 12x + 18

2(x + 3)(x + 3)

2(x - 3)²

Solving

100

2x² - 4x = 0

x = 0 x = 2

200

x² + x = 56

x = -8 x = 7

300

15x² = 12x

x = 0 x = 4/5

400

x² = 16x - 28

x = 14 x = 2

500

2x(x - 6) = -10

x = 5 x = 1

Completing The Square

100

x² + 8x = 20

x = 2 x = -10

200

x² - 2x - 48 = 0

x = 6  x = -8

300

Round to the nearest tenth.

x² - 6x = 10

x = 1.4  x = -7.4

400

Round to the nearest tenth.

x² + 12x + 25

x = -2.7 x = -9.3

500

Simple radical form.

x² + 8x = 24

x = 4+/- 2 square root 10

Quadratic Formula

100

2x² + 7x - 30 = 0

x = 5/2 x = -6

200

16x² + 9 = 24x

x = 3/4

300

Round to the nearest tenths.

2x² - 6x - 5 = 0

x = 3.7 x = -0.7

400

x² + 10x = 5

x = 0.5    x = -10.5

500

Simplest radical form

-x² + 2x + 17 = 0

x = 1 +/- (-3) square root 2

Square root

100

Round to the nearest hundredth

x² + 5 = 11

x = +/- 2.45

200

4x² - 5 = 75

x = +/- 4.47

300

0.5x² = 14

x = +/- 5.29

400

Simple radical form

4x² = 100

x = +/- 5

500

-5x² = 180

No Real Roots