# Thread: relation between x and y

1. ## relation between x and y

if x,y, and a are positive integers.
What can be implied if x^8 + y^8 < a^8?
Thank u for the replies!

2. Hello, erich22!

If $\displaystyle x,y,a$ are positive integers,

what can be implied if: .$\displaystyle x^8 + y^8 \:<\: a^8\;?$

I conclude that: .$\displaystyle \begin{array}{c}0 \:<\:x \:<\:a \\ 0 \:<\:y\:<\:a \end{array}$
Code:
        |
a + . . . . . . . .
| * * * * * * * .
| * * * * * * * .
| * * * * * * * .
| * * * * * * * .
| * * * * * * * .
| * * * * * * * .
| * * * * * * * .
- - + - - - - - - - + - -
|               a

But I still don't understand, how u did it, Sir.
Would u mind explaining it to me in details?

Thank u sir!