Question

Решите уравнение: 6/(x-2)+5/x=3

Answer 1

$frac{6}{x-2} + frac{5}{x} =3 \ \ 6x+5(x-2)=3x(x-2) \ 6x+5x-10=3 x^{2} -6x \ 3 x^{2} -6x-6x-5x+10=0 \ 3 x^{2} -17x+10=0 \ D= (-17)^{2} -4*3*10=169 \ sqrt{D} =13 \ \ x1= frac{17-13}{6} = frac{4}{6} = frac{2}{3} \ \ x2= frac{17+13}{6} =5$