EXPLANATION :
From the problem, we have the equation :
[tex]x=2+\frac{15}{x}[/tex]
Multiply both sides by x :
[tex]\begin{gathered} x(x)=x(2+\frac{15}{x}) \\ \\ x^2=2x+15 \\ x^2-2x-15=0 \\ \\ \text{ Factor completely :} \\ (x-5)(x+3)=0 \end{gathered}[/tex]
Equate both factors to 0 :
x - 5 = 0
x = 5
x + 3 = 0
x = -3
ANSWER :
The solution is (-3, 5)
