Quadratic Formula Solver
Solve quadratic equations ax² + bx + c = 0 using the quadratic formula with step-by-step solutions
About this calculator
The Quadratic Formula Solver is a powerful mathematical tool that instantly solves quadratic equations of the form ax² + bx + c = 0 using the standard quadratic formula. This calculator eliminates complex manual calculations and reduces errors when finding the roots of quadratic equations. It provides step-by-step solutions showing the discriminant calculation, formula substitution, and final answers, making it invaluable for students, teachers, and professionals working with polynomial equations in algebra, physics, and engineering applications.
How to use
Enter the coefficients a, b, and c from your quadratic equation ax² + bx + c = 0 into the respective input fields. Click the solve button to instantly calculate the roots using the quadratic formula. The calculator will display detailed step-by-step solutions including discriminant analysis and both possible solutions.
Frequently asked questions
What happens if the discriminant is negative?
When the discriminant (b² - 4ac) is negative, the quadratic equation has no real solutions, only complex solutions with imaginary numbers.
Can this solve equations with decimal coefficients?
Yes, the calculator accepts decimal values for coefficients a, b, and c, providing accurate solutions for any real number inputs.
What if coefficient 'a' equals zero?
If a = 0, the equation becomes linear (bx + c = 0) rather than quadratic, so the quadratic formula doesn't apply.