Solving Quadratic Equations

Simplifying Radicals

100

sqrt(32

4sqrt2

200

sqrt(180)

6sqrt(5)

300

-5sqrt150

-25sqrt(6)

400

8sqrt(128)

64sqrt2

500

4sqrt(384)

32sqrt6

Solving by Square Root Property

100

x² = 225

x=pm15

200

x² + 4 = 29

x=pm5

300

9x² - 1 = 0

x=pm1/3

400

27 - 2x² = -53

x=pm2sqrt10

500

2/3x^2-16=32

x=pm6sqrt2

Solving by Factoring (abc Shortcut)

100

x² - 14x + 48 = 0

x = {6, 8}

200

2x² + 4x = 48

x = {-6, 4}

300

x² + 19 = 4 - 8x

x = {-5, -3}

400

5x² -25x = 5x - 40

x = {2, 4}

500

DAILY DOUBLE!!!!

3x² = -9x + 30

x = {-5, 2}

Solving by Factoring (abc Long)

100

5x² - 8x + 3 = 0

x={3/5, 1)

200

6x² + 5x + 1 = 0

x={-1/2, -1/3}

300

8x² + 3 = 10x

x={1/2, 3/4}

400

12x² + 32x = -5

x={-5/2, -1/6}

500

2x² - 8 = 31x -2x²

x={-1/4, 8}

Choose Your Method

100

x² + 6x = -9

x = {-3}

200

DAILY DOUBLE!!!!

-101 = -2(-7x - 4) + 3

-8

300

4x² + 9 = 137

x=pm4sqrt2

400

5a² + 14a = -8

x={-2, -4/5}

500

-6 - 4r² = -45

x=pmsqrt39/2