Quadratic Formula Calculator – Instantly solve quadratic equations (𝑎𝑥2+𝑏𝑥+𝑐=0ax2+bx+c=0) for real or complex roots using the quadratic formula.
The Quadratic Formula Calculator helps you find the roots (solutions) of any quadratic equation in the form ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0. It’s widely used in algebra, calculus, physics, engineering, and economics.
✅ Roots (solutions) of quadratic equations
✅ Real and complex solutions
✅ Step-by-step application of the quadratic formula
Simple input for coefficients a,b,ca, b, ca,b,c
Instant calculation of roots
Handles both real and imaginary solutions
Useful for math, physics, and real-world problem solving
📌 Students studying algebra and calculus
📌 Teachers & tutors explaining quadratic equations
📌 Engineers, economists, and scientists
📌 Anyone solving quadratic-related problems
The quadratic formula is:
x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}x=2a−b±b2−4ac
If b2−4ac>0b^2 - 4ac > 0b2−4ac>0, roots are real and distinct
If b2−4ac=0b^2 - 4ac = 0b2−4ac=0, roots are real and equal
If b2−4ac<0b^2 - 4ac < 0b2−4ac<0, roots are complex