已知2x^2+3y^2=4x^2y^2+1,x,y为正整数,求x^2+y^2等于几
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已知2x^2+3y^2=4x^2y^2+1,x,y为正整数,求x^2+y^2等于几已知2x^2+3y^2=4x^2y^2+1,x,y为正整数,求x^2+y^2等于几已知2x^2+3y^2=4x^2y^
已知2x^2+3y^2=4x^2y^2+1,x,y为正整数,求x^2+y^2等于几
已知2x^2+3y^2=4x^2y^2+1,x,y为正整数,求x^2+y^2等于几
已知2x^2+3y^2=4x^2y^2+1,x,y为正整数,求x^2+y^2等于几
2x^2+3y^2=4x^2y^2+1
2x^2+3y^2-4x^2y^2-1=0 (1)
y^2=(1-2x^2)/(3-4x^2)>=0
因为x为正整数得到x^2>=0.75或x^2=1
再由(1)式可得x^2=(1-3y^2)/(2-4y^2)>=1
得到(y^2-1)/(2-4y^2)>=0
所以0.5
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