## Largest value of \$n\$

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Zzzz
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### Largest value of \$n\$

Find the largest value of \$n\$ such that \$n^3+10\$ is divisible by \$n+10\$.
Every logical solution to a problem has its own beauty.

TIUrmi
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### Re: Largest value of \$n\$

"Go down deep enough into anything and you will find mathematics." ~Dean Schlicter

Masum
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### Re: Largest value of \$n\$

I didn't understand the sign \$||\$ here, because it is used to mean:If \$p^a||n\$,then \$p^{a+1}\$ does not divide \$n\$
However,it was a problem from AIME may be and simialr to my post"find the largest \$x\$'
\$n+10|n^3+10\$ and \$n^3+100\$,then \$n+10|990,n_{max}=980\$
One one thing is neutral in the universe, that is \$0\$.

TIUrmi
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### Re: Largest value of \$n\$

That was a typo. Sorry!
"Go down deep enough into anything and you will find mathematics." ~Dean Schlicter

Hasib
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### Re: Largest value of \$n\$

Solu ta ki?
A man is not finished when he's defeated, he's finished when he quits.

Hasib
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### Re: Largest value of \$n\$

Zzzz wrote:Find the largest value of \$n\$ such that \$n^3+10\$ is divisible by \$n+10\$.
a nice problem!
A man is not finished when he's defeated, he's finished when he quits.