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supesha
@supesha
September 2021
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Решите систему уравнений
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iosiffinikov
X^2+y^2=26/5 xy
x^2+y^2=104
26/5 xy=104 xy=20
x^2-2xy+y^2=64
x^2+2xy+y^2=144
(x-y)^2=8^2
(x+y)^2=12^2
1) х-у=8
х+у=12
х=10, у=2
2) х-у=-8
х+у=12
х=2
у=-10
3) х-у=8
х+у= -12
х=-2
у=-10
4) х-у=-8
х+у=-12
х=-10
у=-2
Ответ: 4 решения ( перечислены выше)
1 votes
Thanks 1
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Answers & Comments
x^2+y^2=104
26/5 xy=104 xy=20
x^2-2xy+y^2=64
x^2+2xy+y^2=144
(x-y)^2=8^2
(x+y)^2=12^2
1) х-у=8
х+у=12
х=10, у=2
2) х-у=-8
х+у=12
х=2
у=-10
3) х-у=8
х+у= -12
х=-2
у=-10
4) х-у=-8
х+у=-12
х=-10
у=-2
Ответ: 4 решения ( перечислены выше)