Quadratic Equation Solver
Find the roots of the equation ax² + bx + c = 0.
Result
x₁ = 3, x₂ = 2
x₁ = 3 · x₂ = 2
Result in all units
Step-by-step solution
x = (−b ± √(b²−4ac)) / 2a
What Is a Quadratic Equation?
A quadratic equation is an equation of the form ax² + bx + c = 0. Its roots are found with the help of the discriminant.
How is it calculated?
How Is It Solved?
Δ = b² − 4ac, x = (−b ± √Δ) ÷ 2a
- Enter the coefficients a, b, c.
- If Δ > 0 there are two roots, if = 0 one root, if < 0 there are no real roots.
Frequently Asked Questions
What does the discriminant tell us?
Δ determines the number of roots: if positive there are two distinct roots, if zero one repeated root, if negative there are no real roots.