Italy l Very Nice Olympiad Math Algebric Problem

[@BrijLalSahu-bb1lu]

🎉🎉 very nice @MATHS TUTORIAL ( BL SAHU)

[@Марія-75]

😮😮😮😮❤❤❤❤

[@ПётрВасильев-ф9т]

My solution: 1) a²-b²=9 2) ab=3 3) a+b=? 2) a²b²=9 2) b=3/a 1) (a²-b²)²=81 a⁴-2a²b²+b⁴=81 a⁴+b⁴=99 3) (a+b)⁴=a⁴+3a³b+6a²b²+3ab³+b⁴=99+54+9(a²+b²)=153+9((a+b)²-2ab)=153-18×3+9(a+b)²=99+9(a+b)² a+b=x x⁴=99+x² x²=q q²-q-99=0 D=1+396=397 q=(1±sqrt(397))/2 x=±sqrt(1±sqrt(397))/2) ___ I dont watch video, but i hope my solution is correct