Randomization

Level 2

x x and y y are two positive integers that satisfy 2 y − x 3 = 3367 2^y - x^3 = 3367 .

Calculate y 2 − 3 x y^2 - 3^x .

There's actually a way to solve this problem with only minimal amount of trial and error. (Like, very little amount of trial and error.)

This is part of the series: " It's easy, believe me! "


The answer is -19539.

Thành Đạt Lê by Thành Đạt Lê , 17, Singapore

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Hana Wehbi
Nov 9, 2017

2 y − x 3 = 3367 ⟹ y = 12 and x = 9 ⟹ y 2 − 3 x = 1 2 2 − 3 9 = − 19539 2^y-x^3 = 3367 \implies y=12 \text { and } x=9 \implies y^2- 3^x = 12^2- 3^9= -19539

0 Helpful 0 Interesting 0 Brilliant 0 Confused

How you came to know y=12,x=9?

Saksham Jain - 3 years, 7 months ago

Log in to reply

Honestly, l was able to guess it, there was no mathematical technique behind my it so my solution was more of a trial and error thing. Is that ok?

Hana Wehbi - 3 years, 7 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...