Solving Quadratic Equations and Inequalities Review

Find the discriminant and state the number and type of solutions.

• 227, no real solutions

• 157, 2 real solutions

• -227, no real solutions

• 227, two real solutions

Find the discriminant and state the number and type of solutions.

• 81, 1 real solution

• 216, two real solutions

• 81, no real solutions

• 81, two real solutions

• 72, two real solutions

• 193, no real solutions

• 105, two real solutions

• 0, 1 real solution

Solve the quadratic by factoring.
2a^2-25=-5a

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

2x² + 5x ≥ 12

• [-4, 3/2]

• (−∞, -4) U (3/2, ∞)

• (−∞, -4] U [3/2, ∞)

• no solution

Select the solutions to the equation

4x² + 11x + 7 = 0

• x = - 1.75

• x = 6

• x = - 1

• x = 1

Which inequality is shown?

• y< -x²

• y≤ -x²

• y> -x²

• y≥ -x²

What are the solutions for this quadratic equation?

• -4 and 0

• 4 and 0

• -2 and 4

• -2 and -4