Question

Resolva A Equação :
$\frac{x-3}{2\\}$ + $\frac{1}{x}$ = -3

Answer 1

$\frac{x-3}{2} +\frac{1}{x} =-3\\ \\ mmc=2x\\ \\ \frac{x.(x-3)+2.1=2x.(-3)}{2x} \\ \\ x^{2} -3x+2=-6x\\ \\ x^{2} -3x+6x+2=0\\ \\ x^{2} +3x+2=0$

Δ = b² - 4.a.c

Δ = 3² - 4.1.2

Δ = 9 - 8

Δ = 1

$x=\frac{-3+-\sqrt{1}}{2} \\ \\ x=\frac{-3+-1}{2} \\ \\ x'=-\frac{2}{2} \\ \\ x'=-1\\ \\ x''=-\frac{4}{2} \\ \\ x''=-2$