Quadratic Equation Solver

Solve any quadratic equation ax² + bx + c = 0 instantly using the quadratic formula.

Enter coefficients for ax² + bx + c = 0, then click Calculate
ax2 + bx + c = 0
Roots
Discriminant (b² - 4ac)
x₁
x₂
Vertex

The Quadratic Formula

x = (-b ± √(b² - 4ac)) / 2a. The discriminant (b² - 4ac) determines the nature of the roots: positive gives two real roots, zero gives one repeated real root, and negative gives two complex roots.

Frequently Asked Questions

It solves any quadratic equation in the form ax^2 + bx + c = 0 instantly using the quadratic formula.

x = (-b +/- the square root of (b^2 - 4ac)) / 2a.

The discriminant (b^2 - 4ac) determines the nature of the roots: positive gives two real roots, zero gives one repeated real root, and negative gives two complex roots.

Yes, when the discriminant is negative, the solver returns two complex roots.

You need the coefficients a, b, and c from the equation ax^2 + bx + c = 0.

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