ToolCubbyQuadratic Equation Solver
Solve an equation of the form ax² + bx + c = 0 and find its roots, with the discriminant explained.
x = 2, x = 1
How to use
- Enter the coefficients a, b and c for ax² + bx + c = 0.
- Make sure a is not zero.
- Click Solve to see the roots and the discriminant value.
FAQ
What is the quadratic formula?
x = (−b ± √(b² − 4ac)) ÷ 2a. For x² − 3x + 2 = 0, the roots are 2 and 1.
What does the discriminant show?
The discriminant b² − 4ac tells you how many roots: positive = two, zero = one, negative = two complex roots.
What if the discriminant is negative?
The equation has no real roots, only complex ones, written in the form real ± imaginary·i.
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More FAQs
Is this calculator free?
Yes, it is completely free with no signup and no limits.
Does it run in my browser?
Yes. Everything is calculated locally on your device — nothing is uploaded.
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