2018 Solve Quadratics by Factoring

Solve

16a² = 9

• a = ^-3/₄, ³/₄

• a = ^-4/₃, ⁴/₃

• a = ^-9/₁₆, ⁹/₁₆

• a = ^-16/₉, ¹⁶/₉

Solve

a² = -2a + 24

• a = -6, 4

• a = 6, -4

• a = 12, -2

• a = 8, -3

Solve

-2x²-12x +21= -4x²-29x

• x= ^-21/₂, -17

• x= ²/₃, 16

• x=-7, ^-3/₂

• x=15, -³/₇

Solve

-6x²= 17x + 12

• x = -4/3, x = -3/2

• x = 9, x = 8

• x = 4, x = 3

• x = -4, x = -3

Solve

8n² = -10n + 3

• n = ^-1/₈, ¹⁰/₃

• n = ⁴/₅, - 2

• n = ¹/₄, ^-3/₂

• n = 2, -12

• -6, -2
• -2, 6
• 2, 6
• -6, 2

Tags

CCSS.HSA-REI.B.4B

• ±1.5
• 1.5
• ±1
• No real solution

Tags

CCSS.HSA-REI.B.4B

Solve by factoring.

12 = -3a²+12a

• -2

• 2

• 2/3

• 5

Solve by factoring.
15 = 8x² - 14x

• x = -5 or x = 3/8
• x = -2/5 or x = 4/3
• x = -3 or x = 5/8
• x = -3/4 or x = 5/2

Tags

CCSS.HSA-REI.B.4B

Solve

2x² = 3x + 2

• x = 1, x = -1

• x = -1/2, x = 2

• x = 1/2, x = 2

• x = 1/2, x = 1