Solving Quadratics Review

What is the discriminant?

• b²-4ac
• b²/2a
• 4ac
• b²±4ac

Tags

CCSS.HSA-REI.B.4B

Solve
2x² + 17x + 21 = 0

• x= ^-21/₂, -17
• x= ²/₃, 16
• x=-7, ^-3/₂
• x=15, -³/₇

Tags

CCSS.HSA-REI.B.4B

Solve by taking square roots:
k² - 6 = 43

• k = √37
• k = 37 or - 37
• k = 7, k = -7
• no solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

• -2, 4
• -8
• ±8
• No real solution

Tags

CCSS.HSA-REI.B.4B

• -4, 2
• -2, 4
• -16
• -4

Tags

CCSS.HSA-REI.B.4B

9k² = 225

• 4
• 4, -4
• 25, -25
• -5, 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form
• Write down: a=1, b=6, c=-13
• Make it equal 0 by subtracting 3 on each side
• Type it all in a calculator.

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

Which method is most efficient to solve:
8x²  -  5x  = 0

• Square Roots
• Greatest Common Factor
• X-Factor
• Quadratic Formula

Tags

CCSS.HSA.REI.B.4

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

Tags

CCSS.HSA-REI.B.4B

Find the vertex of 
f(x) = -x² - 4x + 12

• (-2, 16)
• (2, 0)
• (2, 4)
• (-2, 4)

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7