Quadratic Equation Solver
Solve quadratic equations ax² + bx + c = 0 using the quadratic formula. Shows discriminant, roots, and vertex.
How to Use Quadratic Equation Solver
The Quadratic Equation Solver is a free online tool that solves equations of the form ax² + bx + c = 0 using the quadratic formula. Enter coefficients a, b, and c to find the roots (solutions), discriminant, vertex coordinates, and root type (two real, one repeated, or two complex). Whether you are a student solving algebra homework, a teacher creating examples, an engineer finding equilibrium points, or anyone working with quadratic equations, this tool provides complete solutions instantly. Handles both real and complex roots with clear step-by-step results.
Step-by-Step Instructions
- Enter coefficient a (the x² term, cannot be zero)
- Enter coefficient b (the x term) and c (the constant)
- Click Solve to find the roots of the equation
- View discriminant, roots, vertex, and root type
Related Tools
Percentage Calculator
Calculate percentages, percentage changes, and percentage differences.
BMI Calculator
Calculate Body Mass Index from height and weight with category display.
Loan and Mortgage Calculator
Calculate monthly payments, total interest, and amortization schedules.
Tip Calculator
Calculate tip amounts and split bills between multiple people.