Rozwiąrz róenanie:
x ≠ - 3 i x ≠ 3
x / (x + 3) - 18 / (x² - 9) = 0
x(x - 3) / (x² - 9) - 18 / (x² - 9) = 0
(x² - 3x ) / (x² - 9) = 18 / (x² - 9)
x² - 3x = 18
x² - 3x - 18 = 0
Δ = 9 + 72 = 81
√Δ = 9
x1 = (3 - 9) / 2 = -6/2 = -3 ∉ D
x2 = (3 + 9)/2 = 12 / 2 = 6 ∈ D
odp. x = 6
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x ≠ - 3 i x ≠ 3
x / (x + 3) - 18 / (x² - 9) = 0
x(x - 3) / (x² - 9) - 18 / (x² - 9) = 0
(x² - 3x ) / (x² - 9) = 18 / (x² - 9)
x² - 3x = 18
x² - 3x - 18 = 0
Δ = 9 + 72 = 81
√Δ = 9
x1 = (3 - 9) / 2 = -6/2 = -3 ∉ D
x2 = (3 + 9)/2 = 12 / 2 = 6 ∈ D
odp. x = 6