Germany | A Nice Math Olympiad Algebra Problem.

This is an interesting question with amazing concepts!
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[@jyothsnapakanati5366]

Good Job!! 😄

[@ЛидийКлещельский-ь3х]

(1) x^2+[a*x/(x-a)]^2=b ; (2) { [x*(x-a)]^2+(a*x)^2]/[x-a]^2=b ; (3) {x^4-(2*a*x^2)*(x-a) }/(x-a)^2=b ; (4) [(x^2)/(x-a) ]^2-2*a*[(x^2)/(x-a)]=b ; (5) (x^2)/(x-a)=t ; (6) t^2-2*a*t-b=0 ; t1,2=a+-sqrt(a^2+b) ; (7) {(5)} x^2-t*x+a*t=0 ………
With respect , Lidiy