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Quadratic Formula Calculator

Solve quadratic equations ax²+bx+c=0 using the quadratic formula. Shows all steps.

ax² + bx + c = 0
Solutions
Discriminant (b²−4ac)
Nature of Roots
x₁
x₂
Sum of roots
Product of roots

Quadratic Formula

x = (−b ± √(b²−4ac)) / 2a. If discriminant >0: two real roots. If =0: one repeated root. If <0: complex/imaginary roots.

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