Question

Решите???6х-х^2-6 / х-1 - 2х-3 /х-1 =1

Answer 1

$\frac{6x-x^2-6}{x-1}-\frac{2x-3}{x-1}=1\; \; ,\; \; ODZ:\; \; x\ne 1\\\\\frac{6x-x^2-6-2x+3}{x-1}=1\quad \to \quad -x^2+4x-3=x-1\\\\x^2-3x+2=0\\\\x_1=1\; ,\; x_2=2\; \; (teorema\; Vieta)\\\\x_1=1\notin ODZ\\\\Otvet:\; \; x=2\; .$