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Quadratic Formula Calculator
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Enter a, b, and c from ax² + bx + c = 0 to find both roots.
| Discriminant (b²−4ac) | 1 |
| Root 1 | 2 |
| Root 2 | 1 |
The Quadratic Formula
Any equation of the form ax² + bx + c = 0 (with a ≠ 0) can be solved directly with the quadratic formula. The part under the square root, b² − 4ac, is called the discriminant, and it tells you what kind of roots to expect before you even finish the calculation.
x = −b ± √(b² − 4ac)2a
Reading the Discriminant
- Positive - two distinct real roots.
- Zero - exactly one real root (a repeated root).
- Negative - two complex (imaginary) roots; this calculator will show them in a + bi form.