Question 58632This question is from textbook
: A designer, attempting to arrange the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short 25 characters. Can you find the number of characters used by the designer?
I tried to solve this way:
y=x + 24 y = x*x-25
Now I am stuck!!!!!!!!!!Please help
This question is from textbook
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Let the 1st arrangement be x rows by x columns.
With 24 extra characters he must have x^2+24 characters.
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If he adds one row and one column his arrangement is
(x+1)by (x+1) and he is 25 characters short so
he has (x+1)^2-25 or x^2+2x-24 characters.
EQUATION:
x^2+24 = x^2+2x-24
2x=48
x=24
The number of characters he has is x^2+24
=24^2+24=24(25)=600
Cheers,
Stan H.
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