Solving Quadratic Equations by Factoring and Square Root

Solve: 3x² = 12

• ± 2

• 2

• ± √12

• ± 4

Solve: (x + 1) ² = 25

• {± 5}

• {-6, 4}

• {-4, 6}

• { ± 4}

Convert x² - 9x + 20 to factored form and solve.

• (x-10)(x+2); x = -2, 10

• (x+4)(x+5); x = -5, -4

• (x-4)(x-5); x = 4, 5

• Not factorable

Solve: x² - 7x = 0

• x= 0, -7

• x= 0, 7

• x = 7

• unfactorable

Solve using square roots.
k² - 6 = 43

• k = √37

• k = 37 or - 37

• k = 7, k = -7

• no solution

Solve using square roots.
5b² - 4 = 41

• b = 9, b = -9

• b = 3, b = -3

• b = 8, b = -8

• no solution

Solve: 4x² + 4x = 20

• {3, -2}

• {-3, 2}

• {6, 1}

• {5, 4}

(x - 1)² + 14 = 15

• x = 0, 2

• x = 1

• x = 0

• x = 1 ± √29