Quadratic Equation Calculator

Solve quadratic equations step by step, including the discriminant and complex roots.

Quadratic Equation Calculator helps you solve ax² + bx + c = 0 and see the discriminant. Enter a (number in front of x²), b (number in front of x), and c (number on its own), review the breakdown, and use the guidance below to understand what the number means — and what it does not. What the Quadratic calculator does Quadratic Equation Calculator is built for arithmetic, algebra, geometry, and number tools. Solve ax² + bx + c = 0 and see the discriminant. You enter a (number in front of x²), b (number in front of x), and c (number on its own), then Simple Calculators computes the result instantly. Results use standard school and engineering formulas that run privately in your browser. How the math works First the discriminant b² − 4ac is worked out. The answers are then x = (−b ± √(b² − 4ac)) ÷ 2a. If a is 0 the equation is a straight line, bx + c = 0, so x = −c ÷ b. The formula: x = (−b ± √(b² − 4ac)) ÷ 2a. b² − 4ac is the discriminant. If a is 0 the equation is a straight line and x = −c ÷ b.