Question 955309
{{{H=2S-1}}}
{{{L=S+1}}}
and
{{{L^2+S^2=H^2}}}
{{{(S+1)^2+S^2=(2S-1)^2}}}
{{{S^2+2S+1+S^2=4S^2-4S+1}}}
{{{2S^2+2S+1=4S^2-4S+1}}}
{{{2S^2-6S=0}}}
{{{2S(S-3)=0}}}
{{{S-3=0}}}
{{{S=3}}}
Then,
{{{L=3+1}}}
{{{L=4}}}
and
{{{H=2(3)-1}}}
{{{H=6-1}}}
{{{H=5}}}