Find the roots of the following equations x – 1/x = 3 (ii)1/(x+4)-1/(x-7) = 11/30 where x is not equal to -4 and 7

Find the roots of the following equations:

(i)                  x – 1/x  = 3   and x is not equal to 0

Multiply by x both side we get

x² -1  = 3x

Subtract 3x both side we get

x²  -3x – 1 = 0

Now factorize it get roots 

(ii)                  1/(x+4)  - 1/(x-7) = 11/30   where x is not equal to -4 and 7