1x² + -3x + -4 = 0
x₁ = 4, x₂ = -1
- 1Discriminant Δ = b² − 4ac = -3² − 4·1·-4 = 25
- 2Apply x = (−b ± √Δ) / (2a) with a=1, b=-3, c=-4
- 3Two real roots (or one repeated if Δ = 0).
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AlgebraEdge
Drop in the coefficients — see the roots, discriminant, and the factored form, with steps.
1x² + -3x + -4 = 0
x₁ = 4, x₂ = -1
For a quadratic, the discriminant b²−4ac tells you what kind of roots to expect. Positive: two real roots. Zero: one repeated real root. Negative: two complex conjugate roots.
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