An algebra problem by Malina Aciu

Algebra Level 2

Given that x x and y y are positive integer solution to the equation x + y = x + y + x y x+y = \sqrt x + \sqrt y + \sqrt{xy} , find all the solutions for ( x , y ) (x,y) .

( 1 , 4 ) , ( 4 , 4 ) (1,4) , (4,4) ( 1 , 4 ) , ( 4 , 4 ) , ( 4 , 1 ) (1,4), (4,4) , (4,1) ( 0 , 0 ) (0,0) ( 4 , 9 ) , ( 9 , 16 ) (4,9) ,(9,16)

Malina Aciu by Malina Aciu , 37, Romania

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1 solution

Sonia Gupta
Mar 20, 2016

The value of x & y (1,4) ,(4,4) & (4,1) will
satisfy this equation.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

A comment for the contributor of this problem, please don't post the problem showing the solutions. Instead ask the sum of all the possible solutions which is 1+4+4+4+4+1=18

Mohammed Imran - 1 year, 2 months ago

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