Equation Solver (Linear & Quadratic)
Solve linear and quadratic equations in x — typed naturally like 3x + 5 = 2x - 7 or x^2 - 5x + 6 = 0 — with the discriminant, vertex and real or complex roots.
How to use
- 1Type the equation using x, e.g. 2(x + 3) = 5x - 9 or x^2 + 2x - 8 = 0.
- 2Read the solutions and the steps of the quadratic formula.
How it's calculated
The equation is rearranged to ax² + bx + c = 0. Linear: x = −c ÷ b. Quadratic: x = (−b ± √(b² − 4ac)) ÷ 2a; the discriminant b² − 4ac decides whether roots are real or complex.
Frequently asked questions
Can it solve cubic or higher equations?
Not yet — it handles equations that reduce to degree 2 or less. Use the graphing calculator to find roots of higher-degree equations numerically.
What does the discriminant tell me?
Positive: two real roots. Zero: one repeated root. Negative: two complex roots.
How do I type multiplication?
Write 2x or 2*x; powers use ^, e.g. 3x^2.