Question

Решите уравнение 1 (х-2)^2 - 1 х-2 - 6 = 0

Answer 1

$frac{1}{(x-2)^2}- frac{1}{x-2}-6=0 \ frac{1-(x-2)-6(x-2)^2}{(x-2)^2} =0 \ x neq 2 \ 1-x+2-6(x^2-4x+4)=0 \ 1-x+2-6x^2+24x-24=0 \ -6x^2+23x-21=0 \ 6x^2-23x+21=0 \ D=b^2-4ac=529-504=25=5^2 \ x_1=2 frac{1}{3} \ x_2=1,5$