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Quadratic Equation Solver

Solve quadratic equations (ax^2 + bx + c = 0) and find roots, discriminant, and vertex

x1
3
x2
2
discriminant
1
vertexX
2.5
vertexY
-0.25
rootType
two real roots

Frequently Asked Questions

What is the quadratic formula?

The quadratic formula is x = (-b +/- sqrt(b^2 - 4ac)) / 2a. It finds the roots of any quadratic equation in the form ax^2 + bx + c = 0.

What does the discriminant tell us?

The discriminant (b^2 - 4ac) determines the nature of the roots. If positive, there are two real roots. If zero, there is one repeated root. If negative, there are two complex roots.

What is the vertex of a parabola?

The vertex is the highest or lowest point on the parabola. Its x-coordinate is -b/(2a) and y-coordinate is found by substituting x back into the equation.