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Masushenka
@Masushenka
July 2022
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Решите уравнение
x-√x+1 =5
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ShirokovP
Verified answer
- √(x + 1) = - x + 5
√(x + 1) = x - 5
ОДЗ
x ≥ 5
x + 1 = x^2 - 10x + 25
x^2 - 11x + 24 = 0
D = 121 - 96 = 25
x1 = (11 + 5)/2 = 16/2 = 8 ∈ ОДЗ
x2 = (11 - 5)/2 = 6/2 = 3 ∉ ОДЗ
Ответ
8
12 votes
Thanks 13
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Answers & Comments
Verified answer
- √(x + 1) = - x + 5√(x + 1) = x - 5
ОДЗ
x ≥ 5
x + 1 = x^2 - 10x + 25
x^2 - 11x + 24 = 0
D = 121 - 96 = 25
x1 = (11 + 5)/2 = 16/2 = 8 ∈ ОДЗ
x2 = (11 - 5)/2 = 6/2 = 3 ∉ ОДЗ
Ответ
8