![\displaystyle \left \{ {{a_1+a_2+a_3=12} \atop {a_1\cdot a_2=8}} \right. \Rightarrow \left \{ {{a_1+a_1+d+a_1+2d=12} \atop {a_1\cdot(a_1+d)=8}} \right. \Rightarrow\\ \\ \left \{ {{3a_1+3d=12|:3} \atop {a_1(a_1+d)=8}} \right. \Rightarrow \left \{ {{a_1+d=4} \atop {a_1\cdot 4=8}} \right. \Rightarrow \left \{ {{d=2} \atop {a_1=2}} \right.](https://tex.z-dn.net/?f=%5Cdisplaystyle++%5Cleft+%5C%7B+%7B%7Ba_1%2Ba_2%2Ba_3%3D12%7D+%5Catop+%7Ba_1%5Ccdot+a_2%3D8%7D%7D+%5Cright.+%5CRightarrow+%5Cleft+%5C%7B+%7B%7Ba_1%2Ba_1%2Bd%2Ba_1%2B2d%3D12%7D+%5Catop+%7Ba_1%5Ccdot%28a_1%2Bd%29%3D8%7D%7D+%5Cright.+%5CRightarrow%5C%5C+%5C%5C++%5Cleft+%5C%7B+%7B%7B3a_1%2B3d%3D12%7C%3A3%7D+%5Catop+%7Ba_1%28a_1%2Bd%29%3D8%7D%7D+%5Cright.+%5CRightarrow+%5Cleft+%5C%7B+%7B%7Ba_1%2Bd%3D4%7D+%5Catop+%7Ba_1%5Ccdot+4%3D8%7D%7D+%5Cright.+%5CRightarrow+%5Cleft+%5C%7B+%7B%7Bd%3D2%7D+%5Catop+%7Ba_1%3D2%7D%7D+%5Cright.+)
Итак, первое число равен 2, тогда второе - (2+2=4), а третье - (2+2*2)=6
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<span>2^2x-2*2^x*7^x-3*7^2x=0/7^2x
(2/7)^2x-2*(2/7)^x-3=0
(2/7)^x=a
a²-2a-3=0
a1+a2=2 U a1*a2=-3
a1=-1⇒(2/7)^x=-1 нет решения
a2=3⇒(2/7)^x=3⇒x=log(2/7)3
</span>
По формуле -правая часть функции синус разности =sin(7x-6x) = sin x
получаем у=sin x а это синусоида
![(4m + n {}^{6} ) \times (16m {}^{2} - 4mn {}^{6} + n {}^{12} ) \\ \\ (4m) {}^{3} + (n {}^{6} ) {}^{3} \\ \\ 64m {}^{3} + n {}^{18}](https://tex.z-dn.net/?f=%284m+%2B+n+%7B%7D%5E%7B6%7D+%29+%5Ctimes+%2816m+%7B%7D%5E%7B2%7D++-+4mn+%7B%7D%5E%7B6%7D++%2B+n+%7B%7D%5E%7B12%7D+%29+%5C%5C++%5C%5C+%284m%29+%7B%7D%5E%7B3%7D++%2B+%28n+%7B%7D%5E%7B6%7D+%29+%7B%7D%5E%7B3%7D++%5C%5C++%5C%5C+64m+%7B%7D%5E%7B3%7D++%2B+n+%7B%7D%5E%7B18%7D+)
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