Quadratic Formula Solver


Solution with Steps

Enter the 3 coefficients of the quadratic equation in the above boxes.
Next, press the button to solve the equation with steps.

How to Solve using the Quadratic Formula

Quadratic Equation

has the 2 solutions:

Quadratic Formula Equation

Sample Problem: Solve the Quadratic Formula via Factoring

What are the zeros of \( 2x^2+5x-3 \) ?
It means solving the quadratic form equation \(2x^2+5x-3=0 \) .
The fast way to solve the quadratic equation is by factoring which means to rewrite
\( 2x^2+5x-3\) as \(2(x+p)*(x+q)\)
Testing \(p=-3 \) and \(q=.5 \) yields indeed
\( 2x^2+5x-3 = 2(x-3)*(x+0.5)\)
implying the two solutions are \(x=3\) and \(x=-1/2 \).

Using the above Quadratic Formula Solver to solve \(2x^2+5x-3=0\) we must enter the coefficients \(a=2, b=5\) and \(c=-3\). With steps we see the two solutions are \(x=3 \) and \(x=-1/2\) .

Get it now? Try the above Quadratic Formula Solver a few more times.