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Question Number 176101 by BaliramKumar last updated on 12/Sep/22

$$x^2-4y^2=3z^2[x,y,z\in \mathbb{N}]$$ $$HCF(x,y,z)=1like(4,1,2)$$ $$x,y,z<100$$ $$solvebycomputerprograming$$

Commented byAr Brandon last updated on 12/Sep/22

#include <stdio.h> int main(void) { for (short x = 1; x < 100; x++) for (short y = 1; y < 100; y++) for (short z = 1; z < 100; z++) if (x*x - 4*y*y == 3*z*z) printf("(x,y,z)=(%hd,%hd,%hd)\n",x,y,z); return 0; }

Commented byAr Brandon last updated on 12/Sep/22

$$(4,1,2),(14,1,8),(26,11,8),(28,11,10),$$ $$(28,13,6),(38,13,16),(52,1,30),(52,23,14),$$ $$(62,23,24),(74,13,40),(76,11,42),(76,37,10),$$ $$(86,11,48),(98,47,16).$$

Commented byAr Brandon last updated on 12/Sep/22

#include <iostream> using namespace std; int main(void) { for (short x = 1; x < 100; x++) for (short y = 1; y < 100; y++) for (short z = 1; z < 100; z++) if (x*x - 4*y*y == 3*z*z) cout<<"(x,y,z)=("<<x<<","<<y<<","<<z<<")"<<endl; return 0; }

Commented byBaliramKumar last updated on 13/Sep/22

$$thankyousir$$ $$howtakentimeinprograming$$ $$see\downarrow \downdownarrows \downdownarrows$$

Commented byBaliramKumar last updated on 12/Sep/22

Commented byBaliramKumar last updated on 13/Sep/22

$$A{tringle}^{\prime }ssideinA.P.\mathrm{\&}areaisrational$$ $$(a,b,c)=(3,4,5),(13,14,15),(15,26,37)$$ $$(17,28,39),(15,28,41),(25,38,51)$$ $$(51,52,53),(29,52,75),(39,62,85)$$ $$..............$$

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