Quadratic Equation Solver
Solve quadratic equations ax² + bx + c = 0 using the quadratic formula and get step-by-step solutions
About this calculator
The Quadratic Equation Solver is a powerful mathematical tool that helps you find the roots of any quadratic equation in the standard form ax² + bx + c = 0. Using the proven quadratic formula, this calculator instantly computes both real and complex solutions while providing detailed step-by-step explanations. Whether you're a student learning algebra, an engineer solving design problems, or anyone working with parabolic functions, this tool saves time and ensures accuracy in your calculations.
How to use
Simply enter the coefficients a, b, and c from your quadratic equation ax² + bx + c = 0 into the designated input fields. Click the solve button to instantly receive your solutions. The calculator will display both roots (if they exist) along with a complete step-by-step breakdown of the solving process using the quadratic formula.
Frequently asked questions
What if the discriminant is negative?
When the discriminant (b² - 4ac) is negative, the equation has two complex solutions, which the calculator will display with imaginary numbers.
Can this solve equations with decimal coefficients?
Yes, the calculator accepts whole numbers, decimals, and fractions as coefficients for maximum flexibility in solving various quadratic equations.
What does the discriminant tell us?
The discriminant determines solution types: positive means two real roots, zero means one repeated root, negative means two complex roots.