已知x+y+z=5,xy+yz+zx=7,那么x2+y2+z2=多少?请写出过程.谢谢
人气:233 ℃ 时间:2019-11-09 18:47:28
解答
(x+y+z)X(x+y+z)=x²+xy+xz+xy+y²+yz+xz+yz+z²
=x²+y²+z²+2(xy+yz+zx)
=x²+y²+z²+2*7
=25
得到x²+y²+z²=25-14=11
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