Question

as retas r, s, t são pararelas. determine o valor de x

Answer 1

$\frac{x}{3x-2}= \frac{x+1}{2x+2} \\ \\ multiplica~cruzado \\ \\ (3x-2)(x+1)=2(2x+2) \\ \\ 3x^2+3x-2x-2=2x^2+2x \\ \\ x^2-x-2=0 \\ \\ \Delta=(-1)^2-4(1)(-2) \\ \Delta=1+8 \\ \Delta=9 \\ \\ x= \frac{1~\pm~3}{2} \\ \\ x'= \frac{1+3}{2} =2 \\ \\ x''= \frac{1-3}{2} =-1~~\rightarrow~~nao~convem$


x = 2