How real men solves a simple equation (when Ramanujan gets bored)

a problem from Ramanujan
radical equation
pair of equations
algebraic equations
#ramanujan
#euler
#olympiad

[haydenwong]

I mean I guessed this when I looked at this problem

[bhargavbhat]

Hum gavesh bharadwaj sir ka students hai hum hamesha graph me kelte hai its very easy to solve this by graphs

[brinzanalexandru]

I did a substitution:x = u^2 and y=v^2 then I wrote u+v^2 =7 and u^2 +v=11 <=> v=11-u^2 and substituted in 1 equation then I opened the parantheses and factored the expression and got u=3 <=> y=2 so finally X=9 and Y=4

[nirupamasingh]

V nice explanation. I am getting to learn so much from your channel