SOLUTION: i am a number the difference between the product of me and myself and the sum of me and myself is 99. what number am i.

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Question 355361: i am a number the difference between the product of me and myself and the sum of me and myself is 99. what number am i.
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the number. You are told
%28x%2Ax%29+-+%28x%2Bx%29+=+99
x%5E2+-+2x+=+99
x%5E2+-2x+-+99+=+0
%28x-11%29%28x%2B9%29+=+0
So either x-11+=0 or x%2B9+=+0
Thus x is either 11 or -9
Check your answers.
Is 11^2 - 22 = 99??
is 121-22 = 99 ??
Is (-9)^2 - (-18) = 99
Does 81 + 18 = 99??