Question 200748
x+y=11 or x=11-y
x^2+y^2=73
(11-y)^2+y62=73
121-22y+y^2+y^2=73
2y^2-22y+121-73=0
2y^2-22y+48=0
2(y^2-11y+24)=0
2(y-8)(y-3)=0
y-8=0
y=8 ans. x=3 ans.
y-3=0
y=3 ans x=8 ans.
Proof:
3+8=11
3^2+8^2=73
9+64=73
73=73