Quadratic Formula Equation


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.

What you need to know about the Quadratic Formula Equation

Quadratic Equation

has the 2 solutions:

Quadratic Formula Equation

Sample Problem: How to Solve the Quadratic Formula Equation

What are the zeros of \( 2x^2+5x-3 \) ?
It means solving \(2x^2+5x-3=0 \) .
The fast way to solve this 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 zeros are \(x=3\) and \(x=-1/2 \).

Using the above Quadratic Formula Calculator 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 zeros are \(x=3 \) and \(x=-1/2\) .

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