tara的歌曲大全:求助SOS WHO CAN HELP ME 一道数学题 要过程

来源：百度文库 编辑：高考问答 时间：2024/04/29 11:04:35
已知,实数X,Y,Z,W满足X+Y+Z+W=X三次方+Y三次方+Z三次方+W三次方=0,求证:X,Y,Z,W这四个数中,至少有2个数的和为0
最好有过程麻烦了

w=-x-y-z
x^3+y^3+z^3+w^3=-3(x+y)(x+z)(y+z)=0
则(x+y)或(x+z)或(y+z)至少一个等于零

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