Find x + y x+y

Level 2

Let x , y x,y be real numbers such that ( x + y ) ( x + 1 ) ( y + 1 ) = 2 (x+y)(x+1)(y+1)=2 and x 3 + y 3 = 1 x^3+y^3=1 . Find the value of x + y x+y .

(Source: national Olympiad)


The answer is 1.

João Baptista by João Baptista , 24, Brazil

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1 solution

Who cares about (x+y)(x+1)(y+1)=2 ...

x³+y³=1

1³+1³=1

0 Helpful 0 Interesting 0 Brilliant 1 Confused

No are you alright @Mark Joseph Francisco

Shubam Tayal - 1 year ago

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