Algebra 2 Solve Quadratic by Square Roots

Find the value of c that makes x² – 5x + c a perfect square trinomial.

• –12.25

• –6.25

• 6.25

• 10

Tags

CCSS.HSA-REI.B.4B

Which of the following quadratic equations has exactly one real solution?

• 2x² – 6x + 16 = 0

• 2x² – 2x – 24 = 0

• 3x² + 15x – 9 = 0

• 2x² + 12x + 18 = 0

Tags

CCSS.HSA-REI.B.4B

Solve (w - 13)² = 16 using square roots

• w = -9 or w = 9

• w = 9 or w = 13

• w = 9 or w = 17

• w = -13 or w =13

Tags

CCSS.HSA-REI.B.4B

Solve x² + 4x + 4 = 25 by taking the square root of each side

• x = -√23 or x = √23

• x = -27 or x = 23

• x = -7 or x = 3

• x = 3 or x = 5

Tags

CCSS.HSA-REI.B.4B

Write the equation x² - 3x = -14 in standard form. Then identify the values of a, b, and c that you would use to solve the equation using the quadratic formula.

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Tags

CCSS.HSA-REI.B.4B

State the value of the discriminant for the equation n(6n+14) = -7. Then determine the number of real solutions.

• 168, 2 real roots

• 21, 1 real root

• –154, 0 real roots

• 28, 2 real roots

Tags

CCSS.HSA-REI.B.4B

Which graph of the quadratic function y= -2x² -16x -28  could be used to solve the equation -2x² -16x -28 = 0

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Solve 3x = x² - 18 by using the quadratic formula

• x = -39 or x = 42

• x = -6 or x = 3

• x = -6 or x = 12

• x = -3 or x = 6

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

Find the Vertex:
y = x² + 6x + 2

• (-3,-7)

• (1,6)

• (6,2)

• No Real Solution