Quadratic Formula Calculator

Quadratic Formula Calculator – Instantly solve quadratic equations (𝑎𝑥2+𝑏𝑥+𝑐=0ax2+bx+c=0) for real or complex roots using the quadratic formula.

Quadratic Formula  Calculator Quadratic Formula Calculator

Description

🔢 Quadratic Formula Calculator – Solve Quadratic Equations Instantly

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.

📘 What It Calculates:

  • ✅ Roots (solutions) of quadratic equations

  • ✅ Real and complex solutions

  • ✅ Step-by-step application of the quadratic formula

💡 Features:

  • 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

👤 Who Should Use This:

  • 📌 Students studying algebra and calculus

  • 📌 Teachers & tutors explaining quadratic equations

  • 📌 Engineers, economists, and scientists

  • 📌 Anyone solving quadratic-related problems

✅ Pro Tip:

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

🔗 Related Tools:

It solves quadratic equations of the form 𝑎 𝑥 2 + 𝑏 𝑥 + 𝑐 = 0 ax 2 +bx+c=0, where 𝑎 ≠ 0 a  =0.

Because quadratic equations generally have two solutions, one from addition and one from subtraction in the formula.

Yes, if 𝑎 = 0 a=0, the equation becomes linear 𝑏 𝑥 + 𝑐 = 0 bx+c=0, and the solution is 𝑥 = − 𝑐 / 𝑏 x=−c/b.