Question

Identify all values of x that make the equation true

Answer 1

`{ \rm{ \frac{6 {x}^(2) + 18x }{2 {x}^(3) } = (5)/(x) }} \\ \\ { \rm{ \frac{3x + 9}{ {x}^(2) } = (5)/(x) }} \\ \\ { \rm{x(3x + 9) = 5 {x}^(2) }} \\ { \rm{3 {x}^(2) + 9x = 5 {x}^(2) }} \\ { \rm{3x + 9 = 5x}} \\ { \rm{2x = 9}} \\ { \rm{x = 4.5}}`