Math
Quadratic Calculator: Solve ax²+bx+c=0
Learn the quadratic formula and solve equations.
Quadratic equations: ax²+bx+c=0.
Quadratic Formula
x = (-b ± √(b²-4ac)) / 2a
Discriminant
- Positive: Two real solutions
- Zero: One repeated
- Negative: Two complex
Methods
- Factoring (fastest)
- Completing the square
- Quadratic formula (universal)
Applications
Projectiles, optimization, area, profit.
Frequently Asked Questions
What is discriminant?
b²-4ac. Determines number of real solutions.
No solution?
Always has solutions, but may be complex when discriminant < 0.
Where used?
Physics, engineering, economics, geometry.