Quadratic Formula Solver
Enter a, b, and c coefficients of ax² + bx + c = 0 to find the roots using the quadratic formula.
Formula: x = (−b ± √(b² − 4ac)) ÷ 2a
Frequently Asked Questions
What does the discriminant tell us?
Discriminant = b²−4ac. If positive: two distinct real roots. If zero: one repeated real root (double root). If negative: two complex (imaginary) roots — no real solutions. The discriminant reveals the nature of roots without solving.
How do I factor a quadratic?
Once you have the roots x₁ and x₂, the factored form is a(x − x₁)(x − x₂). Example: x²−5x+6=0, roots 2 and 3: factored form = (x−2)(x−3).
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