Quadratic Equation Solver
Solve ax² + bx + c = 0 and show the roots when they exist.
Solve ax² + bx + c = 0
How to use Quadratic Equation Solver
Three quick steps — no sign-up needed
-
Step 1
Enter coefficients a, b, and c
Fill the values for ax² + bx + c = 0. Coefficient a must not be zero.
-
Step 2
Solve the equation
The tool applies the quadratic formula and related checks.
-
Step 3
Read the roots
See real roots when the discriminant allows, and messages when there is no real solution or a is zero.
About Quadratic Equation Solver
Quadratic Equation Solver finds roots of equations in the form ax² + bx + c = 0 using the quadratic formula. Students searching "quadratic formula calculator", "solve ax2+bx+c", or "discriminant calculator" need the roots and an understanding of when they are real.
Enter a, b, and c (a ≠ 0). The discriminant b² - 4ac tells you whether there are two real roots, one repeated real root, or no real roots (complex pair). This tool focuses on the real-root cases presented in the result area.
Show full working in exams when required. Rounding may appear for irrational roots - exact surd form may still be expected on paper.
Algebra homework helper - not a full symbolic CAS.
Benefits of Quadratic Equation Solver
Frequently asked questions
What if a is zero?
Then the equation is not quadratic - it becomes linear and needs a different method.
What is the discriminant?
b² - 4ac - it indicates how many real roots the quadratic has.
Does it show complex roots?
The on-page result focuses on real solutions; complex roots may be noted as not real.
Can coefficients be decimals?
Yes - enter decimal values when your problem uses them.
Will this write a full proof?
It computes roots; written method marks still need your steps.