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leska969
@leska969
July 2022
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Решить логарифмическую систему уравнений
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sedinalana
ОДЗ x≠5 U y≠-1
(y+1)/(x-5)=1⇒y+1=x-5⇒x=y+6
x²+y²+38=64
(y+6)²+y²+38-64=0
y²+12y+36+y²+38-64=0
2y²+12y+10=0
y²+6y+5=0
y1+y2=-6 U y1*y2=5
y1=-5⇒x1=1
y2=-1 не удов усл
Ответ (1;-5)
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Answers & Comments
(y+1)/(x-5)=1⇒y+1=x-5⇒x=y+6
x²+y²+38=64
(y+6)²+y²+38-64=0
y²+12y+36+y²+38-64=0
2y²+12y+10=0
y²+6y+5=0
y1+y2=-6 U y1*y2=5
y1=-5⇒x1=1
y2=-1 не удов усл
Ответ (1;-5)