\(\frac{x+2}{4}=\frac{9}{x+2}\)
\(\Rightarrow\frac{\left(x+2\right)\left(x+2\right)}{4\left(x+2\right)}=\frac{36}{4\left(x+2\right)}\)
\(\Rightarrow x^2+4x+4=36\)
\(\Rightarrow x^2+4x=32\)
\(\Rightarrow x=4;-8\)
\(x\in N\left(4\right)\)(x là số nguyên dương ?)