A teacher on attempting to arrange the students for mass drill in the form of a solid square found that `24` students were left. when he increased the size of the square by one student,he found that he was short of `25` students find the number of students.

Explanation

Let `N` be the number of students.

Let `x` is the length of square( in terms of number of students formed initially).

Then,

`N = x^2+24->(1)`

`N= (x+1)^2-25->(2)`

From (1) and (2),

`x^2+24 = (x+1)^2-25`

`x^2+24 = x^2+1+2x-25`

...