Question 273176
A person on attempting to arrange the chairs for a function in the form of a square found that 4 chairs were left over.
 When he increased the size of the square by one chair. He found that he was short of 25 chairs.
 Find the number of chairs.
:
Let (x^2 + 4) = no. of chairs
:
"When he increased the size of the square by one chair. He found that he was short of 25 chairs."
x^2 + 4 = (x+1)^2 - 25
:
x^2 + 4 = x^2 + 2x + 1 - 25
:
0 = x^2 - x^2 + 2x - 24 - 4
:
0 = 2x - 28
:
2x = 28
x = 14 
:
14^2 + 4 = 200 chairs