Question

solve for x 1/ x+4minus 1/x-7 equals to 11/30 ​

Answer 1

Solution:

Now, 1/(x + 4) - 1/(x - 7) = 11/30

or, {(x - 7) - (x + 4)}/{(x + 4)(x - 7)} = 11/30

or, (x - 7 - x - 4)/(x² - 3x - 28) = 11/30

or, - 11/(x² - 3x - 28) = 11/30

or, - (x² - 3x - 28) = 30

or, x² - 3x - 28 + 30 = 0

or, x² - 3x + 2 = 0

or, (x - 2) (x - 1) = 0

Either x - 2 = 0 or, x - 1 = 0

i.e., x = 2, x = 1

Therefore, the required solution is

x = 2, 1

Answer 2

solution is attached above .......