Question

1/x+3-1/x-8=11/33 solve the equation for the value of x.

Answer 1

1/x+3-1/x-8=11/33
(1+3x-1-8x)x=11/33
-5x^2=11/33
x^2=11/33×-5
x=anroot 1/-15
x=-1/anroot15×anroot15/anroot15
x=-anroot15/15

Answer 2

Given:

1/(x + 3) - 1/(x - 8) = 11/30

Now we will take the LCM, we will get this:

[(x - 8) - (x + 3)]/(x + 3)(x - 8) = 11/30

-11/(x + 3)(x - 8) = 11/30

By cross multiplying we will get:

-30 = (x + 3)(x - 8)

x² -8x + 3x - 24 = -30

x² - 5x + 6 = 0

(x - 2) (x - 3) = 0

x = 2

or

x = 3

If there is any confusion please leave a comment below.