Question 982501
{{{x^2 - y^2 = 24}}}

 xy = 35

x=35/y

{{{(35/y)^2-y^2=24}}}


{{{(1225-y^4)/y^2 =24}}}

{{{1225-y^4=24y^2}}}


{{{y^4+24y^2-1225=0}}}


{{{y^4-49y^2+25y^2-1225=0}}}


{{{y^2(y^2-49)+25y^2(y^2-49)=0}}}

{{{(y^2-49)(y^2+25)=0}}}

Either 
{{{(y^2-49)=0}}} OR {{{(y^2+25)=0}}}


{{{y^2=49 }}} OR {{{y^2=-25}}}

y= +/- 7 OR y=5i