K为何值时,多项式X²-2kxy-3xy-x-y中不含x、y的乘积项?若|2X+3|+(X-3Y+4)²=0,求(Y-1)²+X²的值?RT.

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K为何值时,多项式X²-2kxy-3xy-x-y中不含x、y的乘积项?若|2X+3|+(X-3Y+4)²=0,求(Y-1)²+X²的值?RT.

K为何值时,多项式X²-2kxy-3xy-x-y中不含x、y的乘积项?若|2X+3|+(X-3Y+4)²=0,求(Y-1)²+X²的值?RT.
K为何值时,多项式X²-2kxy-3xy-x-y中不含x、y的乘积项?
若|2X+3|+(X-3Y+4)²=0,求(Y-1)²+X²的值?
RT.

K为何值时,多项式X²-2kxy-3xy-x-y中不含x、y的乘积项?若|2X+3|+(X-3Y+4)²=0,求(Y-1)²+X²的值?RT.
1.x^2-2kxy-3xy-x-y
=x^2+(-2k-3)xy-x-y
不含x、y的乘积项
-2k-3=0
k =-3/2
2.|2X+3|+(X-3Y+4)²=0,
2X+3=0,X-3Y+4=0
X=-3/2,Y=5/6
(Y-1)^2+X^2=(5/6-1)^2+(-3/2)^
=1/36+9/4=82/36=41/18

-2kxy-3xy=0
k=-1.5
|2X+3|+(X-3Y+4)²=0
|2X+3|=0
X=-3/2
(X-3Y+4)²=0
Y=5/6
(Y-1)²+X²=(5/6-1)²+-3/2²