Quadratic Equation Root Calculator

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Quadratic Equation Root Calculator

What is a Quadratic Equation Root Calculator?

A Quadratic Equation Root Calculator is a tool that finds the roots (solutions) of a quadratic equation of the form:

ax2+bx+c=0

where a,b, and c are constants, and a≠0.

Why Use a Quadratic Equation Root Calculator?

  • Quick and Accurate: Solves quadratic equations instantly.
  • Handles Complex Roots: Works with real and imaginary (complex) solutions.
  • Step-by-Step Solutions: Explains how the roots are found.
  • Useful for Algebra and Physics: Helps in solving motion, optimization, and engineering problems.

How Does It Work?

  1. Input the coefficients: Enter values for a, b, and c.
  2. Apply the quadratic formula:
  3. Check the discriminant (b2−4ac):
    • If positive, two real roots exist.
    • If zero, one real root exists (double root).
    • If negative, two complex (imaginary) roots exist.
  4. Display the roots in decimal or exact form.

When to Use It?

  • Solving algebraic equations in math and physics.
  • Finding x-intercepts of a quadratic function.
  • Checking solutions for homework or exams.
  • Engineering and scientific calculations.