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Your solution is lengthy and complicated. Frist find out a^2 + b^2 using a+b whole square formula. Then find out a-b whole square and then find out a-b and then a and b
Substitute x=√a=5+z, y=√b=5-z, and (5+z)(5-z)=25-z^2=10 so z^2=15, z=±√15, a=(5±√15)^2=40±10√15, and b=(5∓√15)^2=40∓10√15
Your solution is lengthy and complicated. Frist find out a^2 + b^2 using a+b whole square formula. Then find out a-b whole square and then find out a-b and then a and b
Substitute x=√a=5+z, y=√b=5-z, and (5+z)(5-z)=25-z^2=10 so z^2=15, z=±√15, a=(5±√15)^2=40±10√15, and b=(5∓√15)^2=40∓10√15