
设m>n>0,m^2+n^2=4mn,求m^2-n^2/mn的值
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(m+n)^2=m^2+n^2+2mn=4mn+2mn=6mn
(m-n)^2=m^2+n^2-2mn=4mn-2mn=2mn
(m^2-n^2)^2=(m+n)^2(m-n)^2=6mn*2mn=12m^2n^2
m^2-n^2=2√3mn
m^2-n^2/mn=2√3
(m-n)^2=m^2+n^2-2mn=4mn-2mn=2mn
(m^2-n^2)^2=(m+n)^2(m-n)^2=6mn*2mn=12m^2n^2
m^2-n^2=2√3mn
m^2-n^2/mn=2√3
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