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hfpvjkjlbyf
@hfpvjkjlbyf
July 2022
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помогите решить мне 3б
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mmb1
Verified answer
2√x-2√y=√xy
x+y=5
ОДЗ x>=0,y>=0
x>y
√x-√y=√xy/2
x+y-2√xy=xy/4
x=5-y
5-y+y-2√y(5-y)=y(5-y)/4
√y(5-y)=t t>=0
5-2t=t²/4
t²+8t-20=0
D=64+80=144
t12=(-8+-12)/2=-10 2
t=-10 не подходит
е=2
y(5-y)=4
y²-5y+4=0
D=25-16=9
y12=5+-3/2= 4 1
y=1
x=4
y=4
x=1 не подходит апо ОДЗ
Ответ 4 1
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Answers & Comments
Verified answer
2√x-2√y=√xyx+y=5
ОДЗ x>=0,y>=0
x>y
√x-√y=√xy/2
x+y-2√xy=xy/4
x=5-y
5-y+y-2√y(5-y)=y(5-y)/4
√y(5-y)=t t>=0
5-2t=t²/4
t²+8t-20=0
D=64+80=144
t12=(-8+-12)/2=-10 2
t=-10 не подходит
е=2
y(5-y)=4
y²-5y+4=0
D=25-16=9
y12=5+-3/2= 4 1
y=1
x=4
y=4
x=1 не подходит апо ОДЗ
Ответ 4 1