About Equation Solver
A quadratic equation has the form ax² + bx + c = 0. This solver computes the discriminant D = b² − 4ac and applies the quadratic formula x = (−b ± √D) ÷ 2a. If D is positive there are two real roots, if D is zero one repeated root, and if D is negative two complex roots. The vertex is (−b ÷ 2a, c − b² ÷ 4a). When a is 0 it solves the linear equation x = −c ÷ b.
How to use Equation Solver
- Fill in "a", "b" and "c".
- The result appears below and updates as you type.
- Copy the result with the copy button, or download it as a file where that is offered.
Questions about Equation Solver
What does the discriminant tell me?
It shows how many real solutions exist before you solve. A positive discriminant means two real roots, zero means one repeated root, and a negative value means the parabola never crosses the x-axis, so the roots are complex.
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