Formulas for the roots of a quadratic equation. The discriminant
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1
Solve x² - 3x - 4 = 0.
x₁ = 4, x₂ = -1
2
Solve 2x² + 3x - 5 = 0.
x₁ = 1, x₂ = -5/2
3
Find the discriminant of 5x² - 4x + 1 = 0.
-4
4
Solve x² + 10x + 25 = 0.
x = -5
5
Solve by completing the square: x² + 4x - 12 = 0.
x₁ = 2, x₂ = -6