Solving Quadratic Equations: Quadratic Formula

In this post you will learn how to solve quadratic equations using the quadratic formula. Follow the tips and examples below to successfully apply this method each time.

Quadratic Formula always works for solving quadratic equations of the form ax^2 + bx + c = 0
Quadratic equation solved using quadratic formula step by step example 2x^2 - 3x - 5 = 0

Example 1

Quadratic equation solved using quadratic formula step by step example 3x^2 - 17x + 10 = 0

Example 2

When to use quadratic formula. Tips and steps for solving quadratic equations using quadratic formula.
Quadratic equation solved using quadratic formula step by step example 3(x^2 - 2x) - 21 = x^2 + 5x

Example 3

Quadratic equation solved using quadratic formula step by step example 2x^2 + 6x + 1 = 0

Example 4

Number of solutions of quadratic equations. Tips and steps for solving quadratic equations using quadratic formula.
Quadratic equation solved using quadratic formula step by step example x^2 - 6x + 10 = 0

Example 5

Quadratic equation solved using quadratic formula step by step example 16x^2 - 8x + 1 = 0

Example 6

Your turn! Solve the equations below using the quadratic formula to practice and improve your skills. When you finish, find the answer key at the end of this page to check your work. If you get stuck, go back to the examples and tips above or watch this video for a step-by-step example. And when you are ready give it another try.

Quadratic equation practice example with answer key 2x^2 - 6x + 1 = 0

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Quadratic equation practice example with answer key x^2 + 2x - 5 = 0

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Quadratic equation practice example with answer key x^2 + 6x + 13 = 0

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Quadratic equation practice example with answer key 14x^2 - 3x - 2 = 0

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Quadratic equation practice example with answer key -3x^2 + 2x + 5 = 0

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Quadratic equation practice example with answer key -2(x^2 - 1) + 5(x^2 + x) = 0

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Quadratic equation practice example with answer key x(x+1) - 5(x - 1) = 4
Quadratic equation practice example with answer key 5x^2 + x - 4 = 0

The quadratic formula is a powerful tool that works for solving any type of quadratic equations. The trick to master it is practice, practice, practice. Follow the tips and examples above, and practice regularly to improve your skills. Soon solving quadratic equations using the quadratic formula will become second nature.

Answer key

Quadratic equations practice example answer key questions 1-4

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Quadratic equations practice example answer key questions 5-8

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