画圈的三题,快快快
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x=(√3-√2)²=5-2√6 y=(√3+√2)²=5+2√6
y/x=(5+2√6 )/(5-2√6)=(5+2√6 )²
x/y=(5-2√6 )/(5+2√6)=(5-2√6 )²
y/x²=y/x×1/x=(5+2√6 )²×1/(5-2√6 )=(5+2√6 )³
x/y²=(5-2√6 )²×1/(5-2√6 )=(5-2√6 )³
y/x²+x/y²=(5+2√6 )³+(5-2√6 )³=10×[(5+2√6 )²+(5-2√6 )²+(5+2√6 )(5-2√6 )]
=10×(49+49+25-24)
=990
y/x=(5+2√6 )/(5-2√6)=(5+2√6 )²
x/y=(5-2√6 )/(5+2√6)=(5-2√6 )²
y/x²=y/x×1/x=(5+2√6 )²×1/(5-2√6 )=(5+2√6 )³
x/y²=(5-2√6 )²×1/(5-2√6 )=(5-2√6 )³
y/x²+x/y²=(5+2√6 )³+(5-2√6 )³=10×[(5+2√6 )²+(5-2√6 )²+(5+2√6 )(5-2√6 )]
=10×(49+49+25-24)
=990
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