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Solution: The original equation can become: y^6-6y^2-y^2+√6=0 Let √6=a(a>0)∴y^2a^2-a+(y^2-y^6 )=0 solve the quadratic equation of a according to the meaning of the question: y≠0, y^2≠0a1=y^2, a2=(1-y^4)/y^2 when a=y^2, y^2=√6y1=4√6, y2=-4√6 (Note: 4√ is the fourth root of 4
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