Question

como resolver a fatoração [x+2]!=6 sobre x!

Answer 1

$\frac{(x+2)(x+1)x!}{x!}=6 \\ \\ x^2+3x+2=6 \\ x^2+3x-4=0 \\ \\ x= \frac{-3+- \sqrt{9+16} }{2}= \frac{-3+-5}{2} \\ \\ x_{1}= \frac{-3+5}{2}= \frac{2}{2}=1 \\ \\ x_{2}= \frac{-3-5}{2}= \frac{-8}{2}=-4$