Question

calcule o valor de de m na equação m! + (m-1)! / (m+1)! -m! = 6/25

Answer 1

$\frac{m!+(m-1)!}{(m+1)!-m!} = \frac{6}{25} =\ \textgreater \ \frac{m(m-1)!+(m-1)!}{(m+1)m(m-1)!-m(m-1)!} = \frac{6}{25} \\ \frac{(m-1)!(m+1)}{(m-1)![(m+1)m-m]} = \frac{6}{25} =\ \textgreater \ \frac{(m+1)}{m^2+m-m} = \frac{6}{25}=\ \textgreater \ 6m^2=25m+25=\ \textgreater \ \\ 6m^2-25m-25=0$
Δ = 625 + 600 = 1225
m = (25-35)/12 => m = -5/6 Não serve ou
m = (25 + 35)/12 => m = 60/12 => m = 5