Question

Find the values of x in this equation: x – 15 x = 2 . A. -7, 3 B. -5, 2 C. -7, 5 D. -2, 5 E. -3, 5

Answer 1

Answer:

Step-by-step explanation:

The given expression is x- $\frac{15}{x}$ = 2

and we have to solve this for the value of x,

( x- $\frac{15}{x}$) = (2)

$\frac{x^{2}-15 }{x} =2$

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.