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 Post subject: integer n squares
 Post Posted: Mon Nov 17, 2008 8:57 pm 
The sum of an integer and its square (that integer multiplied times itself) is 132. What could that integer be?


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 Post Posted: Mon Nov 17, 2008 10:09 pm 
Just try different numbers. 11 is the answer: 11+121=132


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 Post Posted: Tue Nov 18, 2008 2:18 pm 
Let the integer be x
Therefore square of the integer is x^2

x^2 + x = 132
x^2 + x - 132 = 0
Solve for x
(x + 12)(x - 11) = 0
x = -12 or x = 11


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 Post subject:
 Post Posted: Sat Nov 29, 2008 8:12 am 
Offline
ManhattanGMAT Staff


Posts: 7146
"just try different numbers" is the more efficient way to go here, especially since it's not at all difficult to guess the size of the required number.

this is not a GMATPREP problem, so i've moved it to the general math folder.


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