Hong Kong | You should be able to solve this | Math Olympiad Question

Maths Olympiads are held all around the world to recognise students who excel in maths. The test is offered at many grade levels and provides them with numerous possibilities to win certifications, awards, and even scholarships for higher studies.

[billcook]

Since root x + root y is an integer, root x and root y are integers; x and y are square numbers; x, y and 9 are the squares of a Pythagorean triple. 16+9=25 instantly pops into mind. A quick check and we are done.

[phungcanhngo]

You got a very lovely voice.Thank you so much.

[Suman-qm]

One more way is square both sides rootx + root y =9 then you get x+y +2rootx rooty =81 then put 2rootx rooty one side and square it again you get the equation which upon comparison with sq(x+y) = sq(x-y) +4xy we get simply x+y =41. This way we need not calculate x and y separately we get the value of their sum which is 41

[danielderoudilhes]

J'aime bcp quand vous dites " Squéroutof", ça fait un très joli son en français. Très exotique.

[_normal.boi_]

better way, if u take the √y to RHS and then square the equation. Then just substitute x-y in the equation and hence get the values. (x = 5, y= 4)

[mutluhanulusoy]

Bu kadar basit bir soru için neden bu kadar uzun bir yol izlendi 10 saniyede işlemsiz sonucu buldum