Автор - oksana33kisozqbl4

Помогите пожалуйста
( 5 х^2 - 10x ) - ( x - 20 x^2 + 10x ) - ( 10 x^2 - 100 ) = 0
это дробная черта

Ответ

Автор - Universalka

frac{5}{x^{2}-10x }-frac{x-20}{x^{2}+10x}-frac{10}{x^{2}-100 }=0\\frac{5}{x(x-10)}-frac{x-20}{x(x+10)}-frac{10}{(x-10)(x+10)}=0\\frac{5(x+10)-(x-20)(x-10)-10x}{x(x-10)(x+10)}=0\\frac{5x+50-x^{2}+10x+20x-200-10x }{x(x-10)(x+10)}=0\\frac{-x^{2}+25x-150 }{x(x-10)(x+10)}=0\\left { {{-x^{2}+25x-150=0 } atop {xneq0;xneq-10;xneq10}} right.\\x^{2}-25x+150=0\\x_{1}=15teorema.Vieta\\x_{2}=10-neyd \\Otvet:boxed{15}

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