Worked example
x² − 5x + 6 = 0
- Identify a = 1, b = −5 and c = 6.
- Compute Δ = b² − 4ac = 25 − 24 = 1.
- Use x = (−b ± √Δ)/(2a) to get x = 2 or x = 3.
- Substitute: 4 − 10 + 6 = 0 and 9 − 15 + 6 = 0.
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Find the roots. See why they are roots.
Find the real roots of a supported quadratic equation, inspect the discriminant, and verify every reported root.
Write the equation as ax² + bx + c = 0 with a ≠ 0. The discriminant b² − 4ac determines the number of real roots; the quadratic formula finds them. Substitution checks each result.
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