若|x-2y+1|+|x-z-3|+(z+y-5)的平方=0,则xy+z的平方的值为
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若|x-2y+1|+|x-z-3|+(z+y-5)的平方=0,则xy+z的平方的值为若|x-2y+1|+|x-z-3|+(z+y-5)的平方=0,则xy+z的平方的值为若|x-2y+1|+|x-z-3
若|x-2y+1|+|x-z-3|+(z+y-5)的平方=0,则xy+z的平方的值为
若|x-2y+1|+|x-z-3|+(z+y-5)的平方=0,则xy+z的平方的值为
若|x-2y+1|+|x-z-3|+(z+y-5)的平方=0,则xy+z的平方的值为
若|x-2y+1|+|x-z-3|+(z+y-5)²=0,则xy+z²的值为
三个非负数之和等于零,只有它们都等于零才有可能,故有:
x-2y+1=0.(1);x-z-3=0.(2);z+y-5=0.(3);
(2)+(3)得x+y-8=0.(4)
(4)-(1)得3y-9=0,故y=3;代入(1)式得x=2y-1=6-1=5;z=5-y=5-3=2;
即x=5,y=3,z=2;故xy+z²=15+4=19.
|x-2y+1|+|x-z-3|+(z+y-5)²=0
则
x-3y+1=0 ..(1)
x-z-3=0 ..(2)
z+y-5=0 ..(3)
(2)+(3),得
x+y-8=0 ..(4)
(4)-(1)得
4y-9=0
y=9/4
带入(4)得
x=23/4
带入(2)得
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|x-2y+1|+|x-z-3|+(z+y-5)²=0
则
x-3y+1=0 ..(1)
x-z-3=0 ..(2)
z+y-5=0 ..(3)
(2)+(3),得
x+y-8=0 ..(4)
(4)-(1)得
4y-9=0
y=9/4
带入(4)得
x=23/4
带入(2)得
z=11/4
故xy+z²
=207/16+121/16
=328/16
=20.5
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