Solving Quadratic Equations

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.APR.B.3

CCSS.HSA.REI.B.4

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

Solve for x:

(x + 6)² = 49

• x=7,12

• x=±7

• x=1,-13

• x=43,-55

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

When solving a quadratic equation, when do you use the plus or minus (±) symbol?

• After taking the square root of both sides

• After adding the square to both sides

• After taking half of b

• After setting the equation equal to zero

Tags

CCSS.HSA-REI.B.4B

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.B.4B

Solve by completing the square. 
 x² − 10x - 11= 0

• x = −1 and 11
• x = 1 and −11
• x = −10 and 11
• x = −5 and 25

Tags

CCSS.HSA-REI.B.4B

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

• Set the equation equal to zero
• Divide 10 by 2 and add the result to both sides
• Add a² and 10a together
• Subtract the 21

Tags

CCSS.HSA-REI.B.4B

Complete the square for
x² + 12x + ____

• x² + 12x + 144
• x² + 12x + 36
• x² + 12x - 36
• x² + +12x - 144

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

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

• -4.9 and -0.1

• -8.54 and 8.54

• -0.45 and 3.55

• -6.77 and 1.77