📐Quadratic Equation Solver

Solve quadratic equations and show the discriminant, roots, and vertex.

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ax² + bx + c = 0

a

b

c

About Quadratic Equation Solver

Solve any quadratic equation of the form ax² + bx + c = 0 using the quadratic formula. Displays the discriminant, both real and complex roots, the vertex of the parabola, and the axis of symmetry. Supports equations with real or complex solutions.

How to Use Quadratic Equation Solver

1
Enter coefficients
Input the values for a, b, and c in the equation ax² + bx + c = 0.
2
Solve
Click Solve to apply the quadratic formula.
3
Review results
See the roots, discriminant, vertex, and axis of symmetry.

Common Use Cases

Solving quadratic equations for algebra homework
Finding the vertex of a parabola in physics problems
Analyzing projectile motion equations
Checking solutions for quadratic word problems

Frequently Asked Questions

What if the equation has no real roots?

If the discriminant is negative, the tool calculates and displays the complex (imaginary) roots in a + bi form.

What information is shown besides the roots?

You'll see the discriminant, both roots (x1 and x2), the vertex coordinates, and the axis of symmetry.

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