Question

Indique os coeficentes, o delta e as raízes possíveis.1/x-3 - 1/x-2 = 1/2

Answer 1

$\frac{1}{x-3} - \frac{1}{x-2} = \frac{1}{2} \\ MMC \\ (x-3)(x-2)2$

$\frac{2(x-2)-2(x-3)=(x-3)(x-2)}{(x-3)(x-2)2} \\ 2x-4-2x+6= x^{2}-2x-3x+6 \\ x^{2} -5x=-4 \\ x^{2} -5x+4=0 \\ (x-4)(x-1)=0$

$x-4=0 \\ x=4$

$x-1=0 \\ x=1 \\ S=[1;4]$