Question

sejam (2m + n, m-4) e (m + 1,2n) dois pares ordenados iguais. então m² e´igual : ?

Answer 1

$Sabemos \ que: \\\\ (2m + n, \ m-4) = (m + 1, \ 2n) \\\\ Logo: \\\\ 2m+n=m+1 \\ 2m-m+n=1 \\ m+n=1 \\\\ m-4=2n \\ m=2n+4 \\\\ m+n=1 \\ 2n+4+n=1 \\ 3n=1-4 \\ 3n=-3 \\ n=\frac{-3}{3} \\ n=-1 \\\\ m+n=1 \\ m+(-1)=1 \\ m-1=1 \\ m=2 \\\\ Portanto: \\\\ m=2 \\ m^2=2^2 \\ m^2=4 \\\\ Resposta: \ 4.$