Calculate Quadratic Formula | Quadratic Equation Solver

The quadratic formula calculator finds an unknown x that satisfies the quadratic equation ax² + bx + c = 0 for real numbers a, b and c. The quadratic formula is useful for solving any second order polynomial equation.

How to solve for X a Quadratic Formula/Equation:

First, we bring the equation ax²+bx+c=0, where a, b, and c are coefficients to the form (-b±√(b²-4ac))/(2a).

When discriminant √(b²-4ac) is negative, the formula results in imaginary numbers. When discriminant √(b²-4ac) is positive, the formula results in two real numbers. For discriminant √(b²-4ac) = 0, the formula results in one real number.

One example use case could be to solve projectile motion trajectory problems in physics.