Quadratic Formula Calculator

Free quadratic formula calculator - step-by-step solutions to help solve equations with the quadratic formula.

See an example

How to use this calculator

Step 1:

Enter the equation you want to solve using the quadratic formula.

The Quadratic Formula Calculator finds solutions to quadratic equations with real coefficients. For equations with real solutions, you can use the graphing tool to visualize the solutions.

Quadratic Formula: $x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$

Step 2:

Click the arrow to submit. Choose "Solve Using the Quadratic Formula" from the topic selector and click to see the result in our Algebra Calculator !

What can you do with this calculator?

Pick a topic to see a worked, step-by-step example.

Solve Using the Quadratic Formula
Apply the Quadratic Formula

Try more examples

Popular problems students solve with this calculator.

Solve Using the Quadratic Formula $x^{2} + 5 x + 6 = 0$
Solve Using the Quadratic Formula $x^{2} - 9 = 0$
Solve Using the Quadratic Formula $5 x^{2} - 7 x - 3 = 0$
Apply the Quadratic Formula $x^{2} - 14 x + 49$
Apply the Quadratic Formula $x^{2} - 18 x - 4$

How It Works

Enter your problem

Type it into the calculator above, or use the on-screen math keyboard for fractions, exponents, radicals, and more.

Choose what to solve

Pick the topic that matches what you want done from the list Mathway suggests for your problem.

Get the answer with steps

See the result instantly, then follow the step-by-step explanation of how it was solved.

Why use Mathway?

Step-by-step solutions

See how your answer is calculated.

Supports all types of problems

From basic math through calculus and beyond.

Accurate mathematical results

Get exact answers you can trust.

Trusted by students

A reliable tool for homework and learning.

More Algebra Calculators

Factoring Calculator Fraction Calculator Simplify Calculator Slope and Y-Intercept Calculator Equation Solver Solve for x Calculator Find the Domain Calculator Polynomial Division Calculator Multiply Fractions Calculator Solve by Substitution Calculator Equation Point-Slope Calculator Asymptotes Calculator Sequence Calculator Complex Number Factoring Calculator Complex Number Calculator Complex Number Trigonometric Form Calculator Evaluate Radicals Calculator Convert to Radical Form Calculator Square Root Calculator Exponent Calculator Inequality Calculator Logarithm Calculator

Browse all Mathway calculators or solve any problem in the Algebra solver.

Ready to try it yourself?

Enter a problem in the calculator above to get the answer with step-by-step solutions.