已知实数x,y,z满足x+y=5,z²=xy+y-9,求x+2y+3z
x+2y+3z=8 解:x+y=5 z²=xy+y-9 即:x=5-y z²=(5-y)y+y-9 即:z=根号下(-y²+6y+9)求y得3 即:x+2y+3z =(5-y)+2y+3根号下(-y²+6y+9)=5+y =5+3=8 以上纯属个人想法,只供参考 ...
已知实数x,y,z满足: x+y=5 z∧2=xy+y-9 求x+2y+3z=__
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已知实数x,y,z满足x+y=5,z2;=xy+y-9,求x+2y+3z的值
代入z2=xy+y-9得:z2=(5-y)y+y-9,z2+(y-3)2=0,z=0,y-3=0,∴y=3,x=5-3=2,x+2y+3z=2+2×3+3×0=8,故答案为8.
已知x,y,z满足x+y=5,z^2=xy+y-9 求x+2y+3z的值过程
解:∵x+y=5 ∴y=5-x ∵z²=xy+y-9 ∴z²=x(5-x)+(5-x)-9=-x²+4x-4=-(x-2)²∴(x-2)²+z²=0 ∵(x-2)²≥0,z²≥0 ∴x-2=0,z=0 ∴x=2,z=0,y=3 ∴x+2y+3z=8 如果你认可我的回答,【请及时采纳】!有...
已知实数z、y、z满足x+y=5及z2=xy+y-9,则x+2y+3z=__
∵x+y=5,z2=xy+y-9,∴x=5-y,代入z2=xy+y-9得:z2=(5-y)y+y-9,z2+(y-3)2=0,z=0,y-3=0,∴y=3,x=5-3=2,x+2y+3z=2+2×3+3×0=8,故答案为8.
已知实数x,y,z,满足x+y=5,z=xy+y=9,求x+2y+3Z的值
解:已知实数x,y,z,满足x+y=5,z的平方=xy+y-9,得x=5-y,将x=5-y带入z的平方=xy+y-9,得z的平方=(5-y)×y+y-9 z的平方=5y-y的平方+y-9 z的平方=-y的平方+6y-9 z的平方=-(y的平方-6y+9)z的平方=-(y-3)的平方 z的平方+(y-3)的平方=0 且z的平方≥0...
已知实数x.y.z满足x+y=5及z*z=xy+y-9则x+2y+3z=?
x+y=5 x=5-y z^2=(5-y)y+y-9 =6y-y^2-9 =-(9-6y+y^2)=-(y-3)^2 由题意,只有当该项为0时等式成立 得y=3 那么z=0 x=2 x+2y+3z=2+2*3+3*0=2+6+0=8
已知x y z 满足x+y=5,z05=xy+y-9,求x+2y+3z的值
x+y=5 x=5-y z^2=xy+y-9 z^2=(5-y)y+y-9 z^2=-y^2+6y-9 z^2=-(y-3)^2 z^2+(y-3)^2=0 所以,z=0,y-3=0 z=0,y=3 x=5-y=5-3=2 x+2y+3z=2+2*3+3*0=8
已知实数x、y、z满足x+y=5及z=xy+y-9 则x+2y+3z=?
x=5-y z2=-y2+6y-9=-(y-3)2 z=0 y=3 x=2 x+2y+3z=8
已知实数xyz满足x+y=5 z的平方=xy+y-9那么x+2y+3z=多少
x=2,y=3,z=0,答案是8.x+y=5.x=5-y,带入,可以得到,z的平方+(y-3)的平方=0,所以,z=0,y=3,接下来自己来,做题要勤于思考