设M的四次方+n的四次方=26,4M²N²=12求(M²+N²)快
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![设M的四次方+n的四次方=26,4M²N²=12求(M²+N²)快](/uploads/image/z/4982589-45-9.jpg?t=%E8%AE%BEM%E7%9A%84%E5%9B%9B%E6%AC%A1%E6%96%B9%2Bn%E7%9A%84%E5%9B%9B%E6%AC%A1%E6%96%B9%3D26%2C4M%26%23178%3BN%26%23178%3B%3D12%E6%B1%82%EF%BC%88M%26%23178%3B%2BN%26%23178%3B%EF%BC%89%E5%BF%AB)
设M的四次方+n的四次方=26,4M²N²=12求(M²+N²)快
设M的四次方+n的四次方=26,4M²N²=12求(M²+N²)
快
设M的四次方+n的四次方=26,4M²N²=12求(M²+N²)快
(M²+N²)²
=M⁴+N⁴+2M²+N²
=26+12/2
=32
因为M²+N²≥0
所以M²+N²=4√2
m^4+n^4=26,4m^2n^2=12
(m^2+n^2)^2=m^4+n^4+2m^2n^2=26+6=32
m^2+n^2=√32=4√2