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Math & Statistics

Quadratic Equation Solver

Solve a quadratic equation of the form ax^2 + bx + c = 0 to find real and complex roots.

Inputs

-10,00010,000
-10,00010,000
-10,00010,000

Calculation Results

Discriminant (D)

1

Root 1 (Real Part)

3

Root 1 (Imaginary Part)

0

Root 2 (Real Part)

2

Root 2 (Imaginary Part)

0

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Formula & Mathematical Explanation

x=−b±b2−4ac2a\displaystyle x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

The roots of a quadratic equation are calculated using the quadratic formula. The discriminant (D = b^2 - 4ac) determines the nature of the roots: real and distinct if D > 0, real and equal if D = 0, and complex conjugates if D < 0.

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