Review of Solving Quadratic Equations

Solve by completing the square.
x² +12x = 5

• X = 6 + √41 or  6 − √41

• X= 35 or 47

• X = −6 + √41 or  −6 − √41

• X = √35 or √47

Tags

CCSS.HSA-REI.B.4B

Identify the axis of symmetry of the following quadratic equation. f(x) = -4(x - 6)² - 7

• x = -6

• x = -7

• x = 0

• x = 6

For the function below, is the discriminant positive, negative, or zero?
___________
y = x² + 2x + 3

• Positive

• Negative

• Zero

• Not Sure

Tags

CCSS.HSA-REI.B.4B

The discriminant tell you the ______

• time

• y-intercept

• the solution

• type of roots

Tags

CCSS.HSA-REI.B.4B

What is the discriminant formula?

• b - 4ac

• D = 0

• b² - 4ac

• -b+/-b² -4ac/2a

Tags

CCSS.HSA-REI.B.4B

If the discriminant is zero the quadratic has

• 1 real root

• 2 real roots

• 2 complex roots

• 1 real and 1 non real root

Tags

CCSS.HSA-REI.B.4B

When the discriminant is less than zero the quadratic has

• 1 real root

• 2 real roots

• 3 real roots

• 2 complex roots

Tags

CCSS.HSA-REI.B.4B

Solve for the values of x:
(2x + 5)(5x - 2) = 0

• { -5/2, -2/5 }

• { -5/2, 2/5 }

• { 5/2, 2/5 }

• { 5/2, -2/5 }

Tags

CCSS.HSA-REI.B.4B

Complete the square for: x² - 4x - 77 = 0

• (x - 2)² + 73

• (x + 2)² + 73

• (x - 2)² - 81

• (x + 2)² - 81

Tags

CCSS.HSA-REI.B.4B

Transfer to Vertex Form by Complete the square for: x² + 18x + 17 = 0

• (x + 9)² - 64

• (x + 9)² + 64

• (x - 9)² + 64

• (x - 9)² - 64

Tags

CCSS.HSA-REI.B.4B