๐Ÿ“ˆ Quadratic Equation Solver

xยฒ +x += 0
xโ‚ =2
xโ‚‚ =1
Discriminant (bยฒ โˆ’ 4ac)1

Enter the coefficients of a quadratic equation in the form axยฒ + bx + c = 0, and this tool automatically solves for its roots using the quadratic formula. If the discriminant is negative, complex roots are shown too. Useful for checking math homework.

How to use

  1. Enter the coefficients a, b, and c (a must not be 0).
  2. Depending on the sign of the discriminant, real roots, a repeated root, or complex roots are shown automatically.

FAQ

What is the discriminant?

It's the value bยฒ โˆ’ 4ac. A positive value means two distinct real roots, zero means a repeated root, and a negative value means complex roots.

What happens if I enter 0 for a?

If a is 0 the equation is no longer quadratic, so no result is shown. Solve it as a linear equation instead.

How do I read a complex root result?

It's shown in the form "real part ยฑ imaginary part ร— i", where i is the imaginary unit (โˆš-1).