х^3+7х^2-49х-343=0........................................
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x²(x+7)-49(x+7)=0
(x²-49)(x+7)=0
(x-7)(x+7)(x+7)=0
x-7=0;x=7
x+7=0; x=-7
(x^3-343)+(7x^2-49x)=(x-7)*(x^2-7x+49)+7x*(x-7)=(7-x)*(x^2-7x+49+7x)=(7-x)*(x^2+49)=0
7-x=0
x=7
x^2+49=0
Значений нет.
Ответ: 7