
1 若实数m,n满足(m²+n²)(m²+n²-2)-8=0,则m²+n²=
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(m²+n²)(m²+n²-2)-8=0
(m²+n²)²-2(m²+n²)-8=0
[(m²+n²)+2][(m²+n²)-4]=0
m²+n²=-2或m²+n²=4
(m+n)(m+n-2)-8=0
(m+n)²-2(m+n)-8=0
[(m+n)+2][(m+n)-4]=0
m+n=-2或m+n=4
(m²+n²)²-2(m²+n²)-8=0
[(m²+n²)+2][(m²+n²)-4]=0
m²+n²=-2或m²+n²=4
(m+n)(m+n-2)-8=0
(m+n)²-2(m+n)-8=0
[(m+n)+2][(m+n)-4]=0
m+n=-2或m+n=4
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