Quadratic Formula Calculator
Enter the coefficients of x in the quadratic formula and equation calculator to find its roots.
This advanced quadratic equation and formula solver computes the roots of a quadratic equation. It also gives the detail of the whole process along with a plotted graph.
What is a Quadratic equation?
Quadratic means involving the power of two. A quadratic equation is:
“ A polynomial expression which has the maximum degree of variable as 2.”
A quadratic equation is of the form ax2 + bx + c = 0. Where a, b, and c are the coefficients and are known. While variables like “x” are unknown.
Quadratic equation formula
To find the values of X, roots, we use a formula known as the quadratic formula:
Where √(b2 - 4ac) is known as a discriminant.
Nature of the roots
The value of the discriminant determines the nature of the roots whether they are real or imaginary (complex) roots. Here is a guide to learn it beforehand:
- If discriminant > 0 , roots are real
- If discriminant = 0, one real root
- If discriminant < 0, imaginary roots
How to solve Quadratic equations?
Solve 6x2 + 4x + 2 = 0.
Step 1: Identify the Coefficients.
a = 6, b = 4 and c = 2
Step 2: Use the quadratic formula.
So, the roots are complex. These radicals can be further solved as