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tikvabatya
@tikvabatya
August 2022
1
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11 класс. Решите систему уравнений:
9^x*27^y=27
2^x/4^y=32
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Nibelungentreue
1) 9^x*27^y=27|:9
2^x/4^y=32|:2/4
2) x*3y=3
x/y=64
3) x=3/3y
x/y=64
4) x=1/y
x/y=64
Подставляем вместо x - 1/y, 1/y:y=64, 1/y^2=64, y^2=1/64, y=+-1/8.
y^2 - игрек в квадрате.
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Answers & Comments
2^x/4^y=32|:2/4
2) x*3y=3
x/y=64
3) x=3/3y
x/y=64
4) x=1/y
x/y=64
Подставляем вместо x - 1/y, 1/y:y=64, 1/y^2=64, y^2=1/64, y=+-1/8.
y^2 - игрек в квадрате.