How is a quadratic equation solved?

The equation ax² + bx + c = 0 is solved using the quadratic formula: x = (-b ± √(b² - 4ac)) ÷ 2a. Enter a, b, and c and the tool computes both roots instantly with steps.

What is the discriminant?

The discriminant is b² - 4ac. If positive, the equation has two distinct real roots; if zero, one repeated root; if negative, complex (non-real) roots.

What if coefficient a equals zero?

If a = 0 the equation is not quadratic but linear (bx + c = 0), with solution x = -c ÷ b. The tool detects this case and gives the appropriate solution.

Where are quadratic equations used?

They are used in physics (projectile motion), engineering, economics, area and dimension calculations, and any problem involving a quadratic relationship between variables.

📐 Quadratic Equation Solver ax² + bx + c = 0

Find roots of any quadratic equation

📌 Quadratic Formula

x = (-b ± √(b² - 4ac)) / (2a)

If discriminant > 0: two distinct real roots
If discriminant = 0: one repeated real root
If discriminant < 0: two complex roots