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yaroslavbelyae
@yaroslavbelyae
August 2022
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5/x^2-10x-x-20/x^2+10x-10/x^2-100=0(Решите пж)
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ShirokovP
Verified answer
ОДЗ
x ≠ 0; x ≠ 10; x ≠ - 10
5(x + 10) - (x - 20)(x - 10) - 10x = 0
5x + 50 - (x^2 - 30x + 200) - 10x = 0
5x + 50 - x^2 + 30x - 200 - 10x = 0
- x^2 + 25x - 150 = 0 /:(-1)
x^2 - 25x + 150 = 0
D = 25
x1 = (25 + 5)/2 = 30/2 = 15
x2 = (25 - 5)/2 = 20/2 = 10 (не удовлетворяет ОДЗ)
ОТВЕТ
15
16 votes
Thanks 22
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Answers & Comments
Verified answer
ОДЗx ≠ 0; x ≠ 10; x ≠ - 10
5(x + 10) - (x - 20)(x - 10) - 10x = 0
5x + 50 - (x^2 - 30x + 200) - 10x = 0
5x + 50 - x^2 + 30x - 200 - 10x = 0
- x^2 + 25x - 150 = 0 /:(-1)
x^2 - 25x + 150 = 0
D = 25
x1 = (25 + 5)/2 = 30/2 = 15
x2 = (25 - 5)/2 = 20/2 = 10 (не удовлетворяет ОДЗ)
ОТВЕТ
15