Free linear equation solver to solve a linear equation. Instant results in your browser — no signup.
Also known as: Solve a linear equation, quadratic formula, solve equation, roots of equation, ax2+bx+c, equation solver, quadratic equation solver, linear equation calculator
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Roots
x = 3.0000, x = -0.5000
x = (−b ± √(b² − 4ac)) / 2a
y = ax² + bx + c
Step-by-step
| Step | Detail |
|---|---|
| 1 | a=2, b=-5, c=-3 |
| 2 | Δ = -5² − 4(2)(-3) = 49.0000 |
| 3 | x₁ = (−(-5) + √Δ) / (2·2) = 3.0000 |
| 4 | x₂ = (−(-5) − √Δ) / (2·2) = -0.5000 |
Free linear equation solver to solve a linear equation. Instant results in your browser — no signup. x = (−b ± √(b² − 4ac)) / 2a when a ≠ 0.
x = (−b ± √(b² − 4ac)) / 2a when a ≠ 0.
2x² − 5x − 3 = 0 → x = 3 and x = −1/2.
When the discriminant is negative, roots are complex conjugates.
The sketch samples y over x ∈ [−5, 5] for intuition — not a CAS plotter.