CalcOS

Quadratic Equation Solver

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Parameters
First coefficient or term in the mathematical formula.
1
-10,00010,000
Second coefficient or term in the mathematical formula.
-5
-10,00010,000
Third coefficient or term in the mathematical formula.
6
-10,00010,000
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Equation Roots
x = 3.0000, x = 2.0000
Discriminant1
x₁3.0000
x₂2.0000
Result Interpretation

The quadratic equation solution is x = 3.0000, x = 2.0000.

Mathematical Explanation
x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2-4ac}}{2a}

Quadratic equation solved. Roots: x = 3.0000, x = 2.0000

How to Use the Quadratic Equation Solver

Find the roots of any standard quadratic equation ax² + bx + c = 0.

Input variables:
  • Coefficient a: Coefficient a
  • Coefficient b: Coefficient b
  • Coefficient c: Coefficient c

Quadratic Equation Solver: Roots, Parabolas, & Discriminants

Learn the quadratic formula, how the discriminant determines real or complex roots, and step-by-step parabola solving.

Read Full Guide →