Answer:
Step-by-step explanation:
The given expression is x- [tex]\frac{15}{x}[/tex] = 2
and we have to solve this for the value of x,
( x- [tex]\frac{15}{x}[/tex]) = (2)
[tex]\frac{x^{2}-15 }{x} =2[/tex]
x² - 15 = 2x
x² - 2x - 15 = 0
x² - 5x + 3x - 15 = 0
x ( x-5 ) + 3(x - 5) = 0
( x+3 )( x-5 ) = 0
( x+3) = 0
x = -3
or ( x- 5 ) = 0
x = 5
Therefore, x = -3 and 5 will be the solution.
Option E is the answer.