已知(m²+n²)(m²+n²-9)-10=0,求代数式m²+n²的值
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已知(m²+n²)(m²+n²-9)-10=0,求代数式m²+n²的值
已知(m²+n²)(m²+n²-9)-10=0,求代数式m²+n²的值
已知(m²+n²)(m²+n²-9)-10=0,求代数式m²+n²的值
令x=m²+n²
则x(x-9)-10=0
x²-9x-10=0
(x-10)(x+1)=0
x=10,x=-1
因为m²+n²≥0
所以m²+n²=x=10