Matematické Fórum

stuart clark · 27. 10. 2011 18:35

find all integral values of $a\;, b\;, c$ such that the $ab + c\;, bc + a$ and $ac + b$ are perfect squares

vanok · 28. 10. 2011 23:03 — Editoval vanok (28. 10. 2011 23:05)

Hi ↑ stuart clark:,

Until now I find only a family of solutions of this type: $a=n^2-1; b=1; c=1$
Remark: I am interested only in solutions in $\{1; 2; 3; ...\}$

Sincerely Vanok

stuart clark · 29. 10. 2011 18:30

Hi ↑ Vanok:,

How can you get : $a=n^2-1; b=1; c=1$

explanation for that line

Remark:: Now If $0<a\;,b\;c<1000,$

Then no. of Integral values of $a\;,b$ and $c$

Sincerely Stuart

Matematické Fórum

#1 27. 10. 2011 18:35

perfect square

#2 28. 10. 2011 23:03 — Editoval vanok (28. 10. 2011 23:05)

Re: perfect square

#3 29. 10. 2011 18:30

Re: perfect square

Zápatí