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math.quadratic-roots Calculator
Solves the quadratic equation ax² + bx + c = 0 and returns real and complex roots, discriminant, and vertex coordinates. The quadratic formula is one of the oldest mathematical results — derived geometrically by ancient Babylonians over 3,000 years ago.
Inputs
A Coeff
Reference formula or conversion factor shown for context.
B Coeff
Reference formula or conversion factor shown for context.
C Coeff
Reference formula or conversion factor shown for context.
Results
root x1
Reference formula or conversion factor shown for context.
root x2
Reference formula or conversion factor shown for context.
discriminant
Sample size or count used in the calculation.
nature
The value at the specified point or condition.
vertex x
Reference formula or conversion factor shown for context.
vertex y
Reference formula or conversion factor shown for context.