Solve Quadratic Equations + Non-Linear Systems

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.B.4B

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3
• a = 4, b =-8, c =-3
• a = 4, b = 8, c = 3
• a = 4, b = 8, c = -3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Solve the equation: 
5x² - 35x + 60 = 0

• x = 3,  -4
• x = -3,  4
• x = 3,  4
• x = -3,  -4

Tags

CCSS.HSA-REI.B.4B

Solve the equation:
4x²+2x - 6 = 0

• x = 1 & -1.5
• x = -1 & 1.5
• x = (-2 ±√92)/8
• x = (-2 ± √100)/8

Tags

CCSS.HSA-REI.B.4B

Using the graph solve the equation
-x²-2x+3=-5.

• {-3,-1}
• {-2,0}
• {-4,2}
• {-1,4}

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Use the graph of y=-x²+6x-5 to solve the equation -x²+6x-5=0

• {-1,5}

• {3,4}

• {1,5}

• {2,4}

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.11

Solve by factoring: x² - 9x + 20 = 0

• x = -4 and x = -5
• x = 20 and x = -9
• x = 4 and x = 5
• x = -4 and x = 5

Tags

CCSS.HSA-REI.B.4B

Solve by factoring: x² + 3x - 18 = 0

• x = -3 and x = 6
• x = 3 and x = -6
• x = -9 and x = 2
• x = 9 and x = -2

Tags

CCSS.HSA-REI.B.4B

Solve by taking square roots:

5b² - 4 = 41

• b = 9, b = -9

• b = 3, b = -3

• b = 8, b = -8

• no real solution

Tags

CCSS.HSA-REI.B.4B

2d² = 8

• 4
• -2
• -4, 4
• -2, 2

Tags

CCSS.8.EE.A.2