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A quadratic equation is a second-degree polynomial equation in a single variable x with the form ax² + bx + c = 0, where x represents an unknown, and a, b, and c represent known numbers, with a ≠ 0.
Our solver provides step-by-step solutions using multiple methods: factoring, completing the square, and the quadratic formula. Simply enter your equation to see every step of the working.
The quadratic formula is x = (-b ± √(b² - 4ac)) / 2a. It is used to find the roots of a quadratic equation ax² + bx + c = 0.
Factoring involves finding two numbers that multiply to c (or a*c) and add to b, then grouping the terms to factor out common expressions.
The discriminant is the part of the quadratic formula under the square root, b² - 4ac. It tells you the number and type of roots.
Yes, if the discriminant is negative, the solver will show the complex or imaginary roots.
Yes, our quadratic equation solver is completely free to use with no sign-up required.
Enter any equation like 2x + 8 = 20 or x² - 5x + 6 = 0 to get step-by-step solutions.