8.6-8.7 HW: Solving Quadratics using Square Roots & by Factoring

Solve by factoring:

x² + 3x = 6 - 2x

• x = -6, 1

• x = -1, 6

• x = -2, 3

• x = -3, 2

Solve using square roots:

3x² - 1 = 11

• x = 12

• x = 4

• x = 2

• x = -2, 2

Solve using square roots:

2x² = 48

• x = 24

• x = 4√6

• x = 2√6

• x = ±2√6

Solve using square roots:

(x - 1)² = 16

• x = 17

• x = ±6

• x = -3, 5

• x = 5

Solve by factoring:

2x² + 17x = 9

• x = -1/2, 9

• x = -9, 1/2

• x = 1/2, 9

• x = -1, 9/2

Solve by factoring:

8x³ + 20x² = 0

• x = -5/2

• x = 5/2

• x = -5/2, 0

• x = 0, 5/2

Solve using square roots:

25x² - 95 = 49

• x = ±144/25

• x =±√(46)/5

• x = ±12/5

• x = ±5/12

Solve using square roots:

2(x + 2)² - 16 = 80

• x = -2 ± √48

• x = ± 8√3

• x = -6√3, 2√3

• x = -2 ± 4√3

• x = ± 2√3

Solve using square roots:

5x² = 1

• x = 1/5

• x = ±√(5)/5

• x = ±1/5

• x = ± 1

Solve using square roots:

2x² + 15 = 9

• x = ±2√6

• x = ±√3

• x = -√3

• no solution