Quadratic Equation Solver

Enter the coefficients of ax2 + bx + c = 0 and get the roots, discriminant, vertex, and a live graph — with step-by-step working.

x2+ x+ = 0

Tip: a can't be 0 (that would make it linear). Decimals and negatives are fine.

Results

Roots (x)
Nature
Discriminant (b2−4ac)
Vertex
Axis of symmetry
Y-intercept

Graph parabola

Step-by-step (quadratic formula)

  1. Enter coefficients and press Solve to see the worked solution.

Free tool by Effortless Math — we help students learn to love mathematics.