Quadratic Equation Solver
Solve ax²+bx+c=0 for real or complex roots.
Solves equations in the form aײ + b× + c = 0
About this tool
Solves any quadratic equation of the form ax² + bx + c = 0 using the quadratic formula, handling all three cases: two real roots, one repeated real root, or a pair of complex roots when the discriminant is negative.
Key Features
- Two real roots when the discriminant is positive
- One repeated root when it's exactly zero
- Complex roots (a ± bi) when it's negative
- Shows the discriminant
How to Use
- Enter coefficients a, b and c.
- Click Solve.
Benefits
- Check algebra homework instantly
- See all three root cases explained, not just real solutions
- Works with decimals, not just integers
Frequently Asked Questions
If a is 0, the equation isn't quadratic \u2014 it's linear (bx + c = 0) \u2014 so the calculator asks for a non-zero value of a rather than dividing by zero.
It means the equation has no real solutions \u2014 the parabola never crosses the x-axis. The two solutions are complex numbers, shown in the form a \u00b1 bi.