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有理数x,y,z满足方程组x=6-3y,x+3y-2xy+2z^?

2010-09-17 08:35:36曹***
有理数x,y,z满足 方程组:x=6-3y x+3y-2xy+2z^2=0 求2^2y+z的值 有理数x,y,z满足方程组x=6-3y,x+3y-2xy+2z^2=0则2^2y+z的值为有理数x,y,z满足方程组:x=6-3yx+3y-2xy+2z^2=0?

最佳回答

  • 解: x=6-3y => x+3y=6 把x+3y=6代入x+3y-2xy+2z^2=0得: 6-2xy+2z^2=0 把x=6-3y代入6-2xy+2z^2=0得: 6-2(6-3y)y+2z^2=0 3-(6-3y)y+z^2=0 3-6y+3y^2+z^2=0 3(1-2y+y^2)+z^2=0 3(1-y)^2+z^2=0 则1-y=0,z=0,即y=1,z=0 则2^2y+z=2^2+0=4
    2010-09-17 09:07:24
  • x=6-3y ① x+3y-2xy+2z^2=0② 把①代入②,3(y-1)^2+z^2=0, ∴y=1,z=0. ∴2^(2y)+z=4.
    2010-09-17 09:01:29
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