Question

Solve the equation by multiplying both sides by the LCD.

Answer 1

EXPLANATION :

From the problem, we have the equation :

`x=2+(15)/(x)`

Multiply both sides by x :

`\begin{gathered} x(x)=x(2+(15)/(x)) \\ \\ x^2=2x+15 \\ x^2-2x-15=0 \\ \\ \text{ Factor completely :} \\ (x-5)(x+3)=0 \end{gathered}`

Equate both factors to 0 :

x - 5 = 0

x = 5

x + 3 = 0

x = -3

ANSWER :

The solution is (-3, 5)