Solving Quadratic Equations with Real Solutions

• Factoring (Diamond Method)

• Factoring (Grouping)

• Quadratic Formula

• Finding square roots

Check all of the following situations where you could use the Quadratic Formula to solve an equation.

• When its highest exponent (degree) is 1

• When its highest exponent (degree) is 2

• When its highest exponent (degree) is 3

• When you cannot factor the quadratic

• Factoring (Diamond Method)

• Factoring (Grouping)

• Quadratic Formula

• Finding square roots

• Factoring (Diamond Method)

• Factoring (Grouping)

• Quadratic Formula

• Finding square roots

Select the solutions to the equation

4x² + 11x + 7 = 0

• x = - 1.75

• x = 6

• x = - 1

• x = 1

What are the solutions for this quadratic equation?

• -4 and 0

• 4 and 0

• -2 and 4

• -2 and -4

The quadratic function y = -2x² + 4x + 6 is pictured. What are the solutions to the equation 7.5 = -2x² + 4x + 6?

• x = 0.5

• x = 1.5

• x = 1

• x = 8

• x = 6

What are the solutions to the quadratic equation?

• x = -4

• x = 1

• x = -1

• x = 2

• x = 4

• No real solutions

Solve 3x^2 - 2x = 8

• A. No Solution

• B. -2 or 4/3

• C. 2

• D. -4/3 or 2