1) x² – 5x – 12 = 6
x² – 5x – 18 = 0
D = 5² + 4·18 = 97
x₁ = (5 – √97) / 2
x₂ = (5 + √97) / 2
3) x² + 8x = –16 – 2x
x² + 10x + 16 = 0
D = 10² – 4·16 = 36 = 6²
x₁ = (–10 – 6) / 2 = –8
x₂ = (–10 + 6) / 2 = –2
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Answers & Comments
1) x² – 5x – 12 = 6
x² – 5x – 18 = 0
D = 5² + 4·18 = 97
x₁ = (5 – √97) / 2
x₂ = (5 + √97) / 2
3) x² + 8x = –16 – 2x
x² + 10x + 16 = 0
D = 10² – 4·16 = 36 = 6²
x₁ = (–10 – 6) / 2 = –8
x₂ = (–10 + 6) / 2 = –2