Предмет: Математика, автор: УсталБытия

Решите уравнение
2^(x-2)+2^(x+1)-7*2^(x)=48

Ответы

Автор ответа: nelle987
0
2^{x-2}+2^{x+1}-7cdot2^x=48\ dfrac{2^x}{2^2}+2^xcdot2^1-7cdot2^x=48\ 2^xcdotleft(dfrac14+2-7right)=48\ 2^x=-dfrac{192}{19}

При любом действительном значении x 2^x textgreater 0, поэтому у этого уравнения корней нет.
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