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Quadratic Equation Solver

Enter coefficients a, b, and c to solve ax² + bx + c = 0. Displays both roots, the discriminant, and whether roots are real or complex.

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Roots

Enter values to calculate

How to Use the Quadratic Equation Solver

1

Enter coefficient a (the x² term).

2

Enter coefficients b and c.

3

View the roots and discriminant.

Frequently Asked Questions

What is the quadratic formula?
x = (-b +/- sqrt(b² - 4ac)) / 2a. It finds the roots of any quadratic equation.
What is the discriminant?
The discriminant is b² - 4ac. Positive means two real roots, zero means one repeated root, negative means complex roots.
Can coefficient a be zero?
No — if a = 0, the equation is linear (bx + c = 0), not quadratic.

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