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Find largest x
Posted: Tue Dec 07, 2010 7:46 pm
by Masum
Well.I am posting the first problem here,since first problem ofcourse easy.
Find the largest $x$ such that $x+25$ divides $(x+2)^2$
Re: Find largest x
Posted: Tue Dec 07, 2010 8:47 pm
by Zzzz
here is the first reply of the first problem
not sure... may be i have done some mistakes due to over excitement !
\[x+25|(x+2)^2\]
\[\Rightarrow x+25|x^2 + 4x + 4\]
\[\Rightarrow x+25|x^2 + 25x - 21x +4\]
\[\Rightarrow x+25|x(x+25) - 21x +4\]
\[\Rightarrow x+25| -21x +4\]
\[\Rightarrow x+25| 21(x+25) - 21x +4\]
\[\Rightarrow x+25| 529 \]
So, the highest possible value of $x+25$ is $529$
So, the largest value of $x$ is $504$
Re: Find largest x
Posted: Tue Dec 07, 2010 9:02 pm
by Moon
Good Job!
Zzzz, I guess, I (we all) know you.
Re: Find largest x
Posted: Tue Dec 07, 2010 9:22 pm
by Zzzz
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