Quadratic Formula Calculator
Solve quadratic equations (ax² + bx + c = 0) using the quadratic formula.
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x₁
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Discriminant
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x₂
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Vertex x
Recent Calculations
What Is Quadratic Formula?
The quadratic formula finds the values of x that satisfy ax² + bx + c = 0. It always works when a ≠ 0.
Formula
x = (−b ± √(b² − 4ac)) / 2aExample
For x² − 5x + 6 = 0: x = (5 ± √(25 − 24))/2 = (5 ± 1)/2, giving x = 3 or x = 2.
Frequently Asked Questions
What is the discriminant?
b² − 4ac. If positive: 2 real solutions. If zero: 1 real solution. If negative: no real solutions (2 complex solutions).
When do I use the quadratic formula?
Whenever you need to solve a quadratic equation (ax² + bx + c = 0) and factoring isn't easy.