Algebra

Quadratic Formula

What is the Quadratic Formula?

Finds roots of ax^2+bx+c=0

This formula is widely used in algebra applications. Understanding when and how to apply it helps you interpret calculator results correctly and catch input errors before they propagate.

Formula

x = (-b +/- sqrt(b^2 - 4ac)) / 2a

Substitute known values into the formula above. Ensure all variables use consistent units before calculating.

Worked Example

For x^2-5x+6=0: x=2 or x=3

Use the linked calculator below to try your own values and see step-by-step working.

When to Use This Formula

Apply the Quadratic Formula when you need to finds roots of ax^2+bx+c=0. It is a standard reference in algebra coursework, professional practice, and our linked calculators.

Tips & Common Mistakes

  • Watch sign changes when moving terms across the equals sign.
  • Verify solutions by substituting back into the original equation.
  • Always verify critical results independently for engineering, medical, or legal applications.

Related Calculators

Quadratic Equation Calculator

Use online tool

Further Reading

Browse the Formula Library for related formulas, or read educational articles on our Blog.