Math Olympiad l A Nice Algebra Problem l VIJAY Maths

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#matholympiad #maths #algebra #exponents

[RealQinnMalloryu]

(5.4+51.2+55.1^2/1) (2^3.2^2 (2^31.1+2^3^2^31.1/1) (1^1+2^1^1^3/) (2^1^1^3/) (23/) (b ➖ 3a+2).

[Quest]

Let a+b= z then
a^4+b^4= z^4+2a^2b^2-4abz^2
Using in eqn becomes
2[ z^4+a^2b^2-2abz^2]=
2(z^2-ab)^2 or 2[(a+b)^2-ab] ^2
Or a^2+b^2+ab whr a= 100, b= 11or
?= 11221