Question

Решите уравнение........................................................
$frac{1}{4}*( frac{1}{x+9}+ frac{1}{x})= frac{5}{6}- frac{3}{x}$

Answer 1

$frac{1}{4}cdot( frac{1}{x+9}+ frac{1}{x})= frac{5}{6}- frac{3}{x} , x neq 0, x neq 9 \ frac{1}{4}cdot frac{x+x+9}{x(x+9)}= frac{5}{6}- frac{3}{x} \ frac{1}{4}cdot frac{2x+9}{x(x+9)}= frac{5}{6}- frac{3}{x} / cdot12x(x+9) \ 3(2x+9)=2x(x+9)cdot5-12(x+9)cdot3 \ 6x+27=10x(x+9)-36(x+9) \ 6x+27=10x^2+90x-36x-324 \ 10x^2+48x-351=0 \ D_1=24^2-10cdot(-351)=576+3510=4086 \ x= frac{-24pm sqrt{4086} }{10}$

Answer 2

спасибо