The incompleted expression.

Algebra Level 4

x 3 + y 3 + z 3 = n x 2 y 2 z 2 x^3 + y^3 + z^3 = nx^2y^2z^2 Find the sum of all possible value of n ∈ N ∗ n \in \mathbb N^* so that the expression above has at least one possible solution of x x ; y y ; z z ∈ N ∗ \in \mathbb N^* .

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


The answer is 4.

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

(X,Y,Z,n)=(1,1,1,3) or (1,2,3,1). After n=3, the values n are never an integer. n is never 2.
So 3+1=4.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...