SOLUTION: I need help solving this word problem which I'm supposed to solve using a quadratic equation. Any help would be appreciated. thanks. A designer attempts to arrange the chara

Question 144532: I need help solving this word problem which I'm supposed to solve using a quadratic equation. Any help would be appreciated. thanks.

A designer attempts to arrange the characters of his artwork in the form of a square grid with equal numbers of rows and columns, but finds that 24 characters are left out. When he tries to add one more row and column, he finds that he has 25 too few characters. Find the number of characters used by the designer.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
He has n characters.
If he makes it x by x, he has 24 left over, so n = x^2+24
If he makes it (x+1) by (x+1), he's 25 short, so n = (x+1)^2 - 25

Since both equal n

2x = 48
x = 24
n = 24*24 + 24 = 600
25*25 is 625, so he would be 25 short.
There was no need to solve a quadratic.

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