A root is value which we get by solving a given quadratic equation. The quadratic equation is of the form ax2 + bx + c = 0. The root of quadratic equation is given by

Where a, b and c are variables and a $\neq$ 0. If this value is substituted in the equation gives the equation value as zero.

Root Calculator is a online tool which gives you the root values instantly. Here you are supposed to enter the equation in the block provided and you will get the root value.


Step 1 : Read the problem and check whether the equation is of the form ax2 + bx + c. Then  note down the value of a,b and c. Calculate the discriminant using formula D = b2 - 4ac.

Step 2 : The root depends on the value of discriminant
  1. If discriminant value is less than zero then they are imaginary roots.
  2. If discriminant value is $\geq$ 0 then the root value are given by

x = $\frac{-b \pm \sqrt{b^{2} - 4ac}}{2a}$

Where x1 = $\frac{-b + \sqrt{b^{2} - 4ac}}{2a}$ and x2 = $\frac{-b - \sqrt{b^{2} - 4ac}}{2a}$.