Question

Equação Frcionada
$\frac{2x+1}{x-3} + \frac{2}{x-9} =1$

Answer 1

$\frac{2x+1}{x-3}+\frac{2}{x-9}=1\\ \\ (2x+1)(x-9)+2(x-3)=(x-3)(x-9)\\ \\ 2x^2-18x+x-9+2x-6=x^2-9x-3x+27\\ \\ x^2-3x-42=0\\ \\ \Delta=(-3)^2-4.1.(-42)=9+168=177\\ \\ \boxed{x=\frac{3\pm\sqrt{177}}{2}}$