SOLUTION: Im thinking of a number when i subtract 25 from the number the square it the answer i get is the same as when i square the number the subtract 25 from the answer what is m

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Im thinking of a number when i subtract 25 from the number the square it the answer i get is the same as when i square the number the subtract 25 from the answer what is m      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 139938: Im thinking of a number
when i subtract 25 from the number the square it the answer
i get is the same as
when i square the number the subtract 25 from the answer
what is my number?

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
when i subtract 25 from the number then square it the answer
i get is the same as
when i square the number the subtract 25 from the answer

Let x = the number
%28x-25%29%5E2=x%5E2+-25
x%5E2+-+50x+%2B+635+=+x%5E2+-25+

Subtract x%5E2 from each side:
-50x+%2B+625+=+-25
-50x+%2B+625+-625+=+-25-625
-50x+=+-650
x=13

Check:
when i subtract 25 from the number then square it the answer
i get is the same as
when i square the number the subtract 25 from the answer
13-25 = -12. Square it to get 144.
13^2 = 169. Subtract 25 to get 144.

R^2