Practice Quadratic Formula in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

A formula giving the exact solutions to any quadratic equation ax^2 + bx + c = 0 directly from its three coefficients.

When factoring fails, this formula always finds the x-intercepts.

Example 1

easy
Solve x^2 - 5x + 6 = 0 by factoring.

Example 2

medium
Solve 2x^2 + 3x - 2 = 0 using the quadratic formula.

Example 3

hard
Solve 2x^2 - 5x - 3 = 0 using the quadratic formula.

Example 4

easy
Solve x^2 - 9 = 0.

Example 5

hard
Solve x^2 + 4x + 5 = 0 and describe the solutions.