Quadratic Equation Solver Online [Calculator]

Enter Values of Coefficients (ax² + bx + c = 0)




First Root Value:

Second Root Value:

The formula to solve a quadratic equation is

     -b + √(b2 - 4ac)
 r =  ______________
          2a

Note: We will add the support for complex roots soon.

The term b² - 4ac is called as discriminant and is of very importance. Depending on the value of discriminant we can tell the nature of the roots of the quadratic equation where a, b and c are the rational numbers.

If value of discriminant (d) is

• Zero (0) - the equation has real root
• greater than zero (d > 0) - the equation has real and distinct roots
• less than zero (d < 0) - the equation has imaginary roots

The discriminant is useful if we want to know the nature of the roots instead of actually calculating them.

If you want C programming language code to find roots of quadratic equation check out this article at C program to find roots of a quadratic equation.