Unit 8 Lessons 4-6 Review

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

Complete the square.

x² - 14x + ____

• - 196

• 49

• - 49

• 28

Solve the following quadratics equation by completing the square...

x² - 6x + 2 = 0

• x = -3 ± √7

• x = 3 ± √7

• x = 7 ± √3

• x = -7 ± √3

Solve using the quadratic formula.
2x² - 9x - 35 = 0

• x = 7/2, x = -6
• x = -5/2, x =5
• x = -3/7, x =6
• x = -5/2, x = 7

• a = 2 , b = 3, c = -5

• a = 2, b = -3, c = 5

• a = 2, b = -3, c = -5

• a = -2, b = 3, c = 5

1 The discriminant is

• aX² + bX + c

• b - 4ac

• b² - 4ac

• b² + 4ac

1 What does the discriminant tell us?

• The maximum or minimum

• The y-intercept

• The number and type of solutions

• The axis of symmetry

What is the discriminant and how many solutions would this quadratic have?

-8x² + 6x - 4 = 0

• -92, No Solutions

• 164, 2 Solutions

• -164, No Solutions

• 92, 2 Solutions

What is the discriminant and how many solutions would this quadratic have?

-3x² - 5x + 15 = 7

• 205, 2 Solutions

• -71, No Solutions

• 121, 2 Solutions

• 121, 1 Solution