x₁ = 2.0000
x₂ = 3.0000
x = (−b ± √(b²−4ac)) / 2a = (−-5 ± √1) / 2
The equation has two real solutions: x = 2.0000 and x = 3.0000. The parabola crosses the x-axis at these two points.
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The Quadratic Equation Solver evaluates expressions using IEEE 754 double-precision arithmetic. Symbolic steps are shown where applicable to aid verification.
Result = f(x, y, …)Complex operations are decomposed into intermediate steps: simplify, substitute, evaluate. Each step can be inspected to support learning and auditing.
Domain errors (division by zero, negative radicands, invalid factorials) return clear messages. Boundary cases are tested against known reference values.
Updated: July 2026
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