已知(m²+n²)(m²—8+n²)+16=0,求m²+n²,
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已知(m²+n²)(m²—8+n²)+16=0,求m²+n²,
已知(m²+n²)(m²—8+n²)+16=0,求m²+n²,
已知(m²+n²)(m²—8+n²)+16=0,求m²+n²,
设 m²+n²=x
那么,
x(x-8)+16=0
x²-8x+16=0
(x-4)²=0
x=4
所以
m²+n²=4
4
由(m²+n²)(m²—8+n²)+16=0
得 (m²+n²-4)²=0
即 m²+n²=4