Автор - banshee7

решите систему !!!!​

Ответ

Автор - Universalka

left { {{3^{x}-2^{2y}=77 } atop {3^{0,5x}-2^{y}=7 }} right.\left { {{(3^{0,5x}+2^{y})(3^{0,5x}-2^{y})=77} atop {3^{0,5x}-2^{y}=7}} right.\ left { {{7*(3^{0,5x}+2^{y})=77} atop {3^{0,5x}-2^{y}=7}} right.\+left { {{3^{0,5x}+2^{y}}=11 atop {3^{0,5x}-2^{y}=7}} right. \2*3^{0,5x}=18=>3^{0,5x}=9\3^{0,5x}=3^{2}=>0,5x=2=>x=4\3^{0,5*4}-2^{y}=7=>2^{y}=3^{2}-7=9-7=2\2^{y}=2=>y=1\Otvet:x=4, y=1.

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