Question

solve that 1/x - 1/x-2=3

Answer 1

Answer:

your answer is

x = 6+- 2root3/6

Answer 2

Answer:

x = 3 + √13/2 or 3 - √13/2 is the answer.

Step-by-step explanation:

1/x - 1/x - 2 = 3

(x - 2) - x/[x(x - 2)] = 3

-2/[x(x - 2)] = 3

-2 = 3x(x - 2)

-2 = 3x² - 6x

0 = 3x² - 6x + 2

3x² - 6x + 2 = 0

By using quadratic formula, we get

x = -b ±√b² - 4ac/2a

x = 3 ± √9 - 4/2

x = 3 ± √13/2

x = 3 + √13/2 or 3 - √13/2

I hope this answer is helpful for you.