Solving by Quadratics

Solve for a by factoring.

a² + 2a - 24 = 0

• a = -6 and a = 4

• a = 6 and a = -4

• a = 12 and a = -2

• a = 8 and a = -3

Solve:

k² - 2k - 24 = 0

• k = -4, 6

• k = -4, -6

• k = -6, 1

• k = 4, -6

Solve by factoring: x² - 9x + 20 = 0

• x = -4 and x = -5

• x = 20 and x = -9

• x = 4 and x = 5

• x = -4 and x = 5

Solve by factoring: x² + 3x - 18 = 0

• x = -3 and x = 6

• x = 3 and x = -6

• x = -9 and x = 2

• x = 9 and x = -2

x² + 15x + 44 = 0

• {-8, 2}

• {-7, 5}

• {-11, -4}

• {-11}

Solve by factoring:
 x² - 9x + 20 = 0

• x = -4 and x = -5

• x = 20 and x = -9

• x = 4 and x = 5

• x = -4 and x = 5

Solve
x² + 13x + 12 = 0

• x = -12, -1

• x = 12, 1

• x = 13, 1

• x = -13, -1

Solve by factoring.
z² - 6z - 27 = 0

• z = 3 or z = 9

• z = 3 or z = -9

• z = -3 or z = 9

• z = -3 or z = -9

Solve by factoring.
z² - 18z + 81 = 0

• z = 9

• z = -9

• z = 9 or z = -9

Factor and solve:

z² − 14z + 45 = 0

• z = 1, 45

• z = −1, 45

• z = −5, 9

• z = 5, 9