Question

решите уравнение x²+5х/х-1=6/х-1

Answer 1

$\frac{x^2+5x}{x-1} =\frac{6}{x-1} \\\frac{x^2+5x-6}{x-1} =0;D=25+24=7^2\\\frac{(x-\frac{-5-7}{2} )(x-\frac{-5+7}{2} )}{x-1} =0\\\frac{(x+6)(x-1)}{x-1} =0\\\left \{ {{x+6=0} \atop {x-1\neq 0}} \right. \\\left \{ {{x=-6} \atop {x\neq 1}} \right.$

Ответ: -6.