Question 947486
{{{A=2B-1}}}
{{{A^2+B^2=218}}
Substituting,
{{{(2B-1)^2+B^2=218}}}
{{{4B^2-4B+1+B^2=218}}}
{{{5B^2-4B-217=0}}}
{{{(B-7)(5B+31)=0}}}
Only the integer solution makes sense here,
{{{B-7=0}}}
{{{B=7}}}
So,
{{{A=2(7)-1}}}
{{{A=14-1}}}
{{{A=13}}}