Can you do it?

Number Theory Level 3

Find the total ordered number of positive integral solutions satisfying x 1 + x 2 + x 3 = 24 x_1 + x_2 + x_3 = 24 and x 1 2 + x 2 2 − x 3 2 = 0 x_1^2 + x_2^2 - x_3^2 = 0 .


The answer is 2.

Arun Kumaran by arun kumaran , 21, India

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

Arun Kumaran
Jan 5, 2016

Since x1^2+x2^2=x3^2,

x1,x2,x3 are pythagorian triplet

also x1+x2+x3=24

therefore the solution can be (6,8,10) or (8,6,10)

so total number of solutions=2

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...