SOLUTION: 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 f

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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.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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