Algebra & Equations
Quadratic Equation Solver
Solve a·x² + b·x + c = 0.
Formula
Formula
x = −b ± √b2−4ac2a
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| a | quadratic coefficient (≠ 0) | real number (ℝ) | — | input |
| b | linear coefficient | real number (ℝ) | — | input |
| c | constant | real number (ℝ) | — | input |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givena = 1, b = -3, c = 2
Result
x1
2
x2
1
Example 2
Givena = 1, b = 0, c = 1
Result
x1
0 + 1i
x2
0 − 1i