Quadratic Equation Calculator
Quadratic Equation Calculator
Enter coefficients a, b, c for equation ax² + bx + c = 0 and find the solutions.
What is a quadratic equation?
A quadratic equation is a polynomial equation of degree 2, written in the form ax² + bx + c = 0, where a ≠ 0.
How does it work?
The calculator uses the quadratic formula: x = (-b ± √D) / 2a, where D is the discriminant (b² - 4ac).
Types of solutions:
- D > 0: Two real solutions
- D = 0: One real solution (repeated root)
- D < 0: No real solutions (complex solutions)
Frequently Asked Questions
How to find roots of quadratic equation?
Use the discriminant formula: x = (-b ± √D) / 2a, where D = b² - 4ac.
What is discriminant?
Discriminant is the expression b² - 4ac that determines the number of solutions to the equation.
What if discriminant is negative?
If discriminant is negative, the equation has no real solutions, only complex ones.
Can coefficient 'a' be zero?
No, if a = 0, the equation becomes linear (bx + c = 0), not quadratic.