x² - 6x + 8 = t
33/t - t - 8 = 0
t² + 8t - 33 = 0
D = 64 + 132 = 196
t₁ = (-8 - 14)/2 = -11
t₂ = (-8 + 14)/2 = 3
x² - 6x + 8 = -11
x² - 6x + 19 = 0
D = 36 - 76 < 0
x² - 6x + 8 = 3
x² - 6x + 5 = 0
(x - 1)(x - 5) = 0
x₁ = 1
x₂ = 5
3.
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Verified answer
x² - 6x + 8 = t
33/t - t - 8 = 0
t² + 8t - 33 = 0
D = 64 + 132 = 196
t₁ = (-8 - 14)/2 = -11
t₂ = (-8 + 14)/2 = 3
x² - 6x + 8 = -11
x² - 6x + 19 = 0
D = 36 - 76 < 0
x² - 6x + 8 = 3
x² - 6x + 5 = 0
(x - 1)(x - 5) = 0
x₁ = 1
x₂ = 5
3.