Question

(x+1)/5 + (x+1)/6 + (x+1)/7 + (x+1)/8 + (x+1)/9 + (x+1)/10 = 0

Answer 1

Explanation:

`(x + 1)/(5) + (x + 1)/(6) +(x + 1)/(7) +(x + 1)/(8) +(x + 1)/(9) +(x + 1)/(10 ) = 0`

`(x + 1)( (1)/(5) + ... + (1)/(10) ) = 0`

Since the second factor is non-zero, the only possible condition for the equation to hold is,

`x + 1 = 0`

`x = - 1`