√(x + 5)/x + √x/(x + 5) = 2
√(x + 5)/x = t > 0
t + 1/t = 2
t² -2t + 1 = 0
(t - 1)² = 0
t = 1
√(x + 5)/x = 1
x + 5 = x
5 = 0
решений нет
x ∈ ∅
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Verified answer
√(x + 5)/x + √x/(x + 5) = 2
√(x + 5)/x = t > 0
t + 1/t = 2
t² -2t + 1 = 0
(t - 1)² = 0
t = 1
√(x + 5)/x = 1
x + 5 = x
5 = 0
решений нет
x ∈ ∅