Solving Quadratic Equations (Factoring, Sq Rt Form)

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

Tags

CCSS.HSA-REI.B.4B

Factor 6x²-27x

• (6x+1)(x+3)
• 3x(2x-9)
• 6x(x-9)
• (3x-9)(2x+3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

The solutions of the quadratic equation 
x²+2x-15=0 are

• x = 3 or x = 5
• x = 5 or x = -3
• x = -5 or x = 3
• x = -3 or x = -5

Tags

CCSS.HSA-REI.B.4B

Solve:
x² - 49 = 0

• x = -7, x = 7
• x = -7
• x = 7
• x = -7, x = 1

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

Solve by Factoring.

x² + 4x - 40 = -8

• -10 & -4

• -4 & 10

• -8 & 4

• 8 & -4

• ± 1
• ± 4/3
• ± 3/4
• No real solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

Solve by factoring. (HINT: Difference of Perfect Squares)

• x = 2/5, x = -2/5

• x = 4, x = 25

• x = 2, x = 5

• x = 5/2, x = -5/2

Solve:  5x² + 10x + 60 = 4x² - 7x - 12

• -8, -9
• 8, 9
• 12, 6
• -12, -6

Tags

CCSS.HSA-REI.B.4B

3x²+12=39

• x = √27
• x = ±3√27
• x = ±3
• x = ±9

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

(x + 3)² = 36

• x = √36
• x = √39
• x = -9 and x = 3
• x = 9 and x = -3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4