Quadratic Equation Solver

Instructions: This quadratic equation solver will compute the roots of a quadratic equation for you. Type the coefficients of the quadratic equation and the solver will give you the roots, the y-intercept, the coordinates of the vertex and it will plot the function.

\[ \large a x^2 + b x + c = 0 \]
\(a\) =
\(b\) =
\(c\) =

How to Solve the Quadratic Equation?

The quadratic equation is an equation of the form:

\[a x^2 + b x + c = 0\]

with \(a \ne 0\). It has solutions of the form

\[x = \frac{-b \pm \sqrt{b^2 – 4ac}}{2a}\]

In order to analyze the nature of the solution, the discriminant is defined as:

\[D = b^2 – 4ac\]

Based on the value of the discriminant, the nature of the solutions is defined. In fact, when \(D > 0\), then there are two different real solutions, when \(D = 0\), there is one repeated real solution, and when \(D < 0\), there are two different imaginary solutions. This quadratic equation solver helps you make these calculations automatically.

In case you have any suggestion, please do not hesitate to contact us.

Quadratic Equation Solver

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