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x(squared)=y y(squared)=x gcd(x,y)=lcm(x,y) And x,y are distinct solve for x,y

x(squared)=y


y(squared)=x


gcd(x,y)=lcm(x,y)


 


And x,y are distinct


solve for x,y

Grade:10

1 Answers

Chetan Mandayam Nayakar
312 Points
10 years ago

x=y2=(x2)2=x4, x4-x=0, x=0,1 and y=x2=0,1 thus (x,y)=(0,0) or (1,1)

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