If x−y=2x-y=2x−y=2 and xy=24,
Using (x+y)2=(x−y)2+4xy(x+y)^2=(x-y)^2+4xy(x+y)2=(x−y)2+4xy, we get (x+y)2=22+4(24)=4+96=100(x+y)^2=2^2+4(24)=4+96=100(x+y)2=22+4(24)=4.