Solving Quadratic Equations

Solve by completing the square.
x² + 4x= 12

• x = 2 and -2
• x = -6 and 2
• x = 6 and -2
• x = 1 and -1

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

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 using the Quadratic Formula:

2x² + 2x − 12 = 0

• x = −2, 3

• x = 2, 3

• x = 2, −3

• x = −2, −3

Tags

CCSS.HSA.REI.B.4

Find the zeros of the quadratic equation y=4(x+9)²-36

• x=-9+√6 & x=-9-√6
• x=3 & x=-3
• x=-6 & x=-12
• so solution

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Solve the following for x by using the Quadratic Formula

2x²+6x=7

• 
• 
• 

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

• ±72
• ±12
• 12
• No real solution

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Solve
x² + 13x + 12 = 0

• x = -12, -1
• x = 12, 1
• x = 13, 1
• x = -13, -1

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Solve by finding square roots and simplify completely:
 $2x^2=20$ 

•  $x=\pm10$  

•  $x=\sqrt{10}$  

•  $x=\pm\sqrt{10}$  

• No real solutions

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

Solve by factoring:
 $x^2+2x-15=0$ 

•  $x=3\ or\ x=-5$  

•  $x=\pm\sqrt{13}$  

•  $x=-3\ or\ x=5$  

• No real solutions

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Solve using the Quadratic Formula:
 $5x^2+3x-1=0$ 

•  $x=\frac{3\pm\sqrt{29}}{5}$  

•  $x=\frac{8}{5}\ or\ x=-\frac{2}{5}$  

•  $x=\frac{-3\pm\sqrt{29}}{10}$  

• No real solutions

Tags

CCSS.HSA.REI.B.4