已知:(X-1)²+4丨Y-6丨=0,则5X+6Y-4X-8Y等于多少?
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/29 01:51:52
![已知:(X-1)²+4丨Y-6丨=0,则5X+6Y-4X-8Y等于多少?](/uploads/image/z/695767-31-7.jpg?t=%E5%B7%B2%E7%9F%A5%EF%BC%9A%EF%BC%88X-1%EF%BC%89%26%23178%3B%2B4%E4%B8%A8Y-6%E4%B8%A8%3D0%2C%E5%88%995X%2B6Y-4X-8Y%E7%AD%89%E4%BA%8E%E5%A4%9A%E5%B0%91%3F)
已知:(X-1)²+4丨Y-6丨=0,则5X+6Y-4X-8Y等于多少?
已知:(X-1)²+4丨Y-6丨=0,则5X+6Y-4X-8Y等于多少?
已知:(X-1)²+4丨Y-6丨=0,则5X+6Y-4X-8Y等于多少?
解∵(x-1)^2≥0
|y-6|≥0
(X-1)²+4丨Y-6丨=0
∴(x-1)^2=0 x=1
|y-6|=0 y=6
5x+6y-4x-8y=x-2y=1-2*6=-11
答:-11
由题目得X=1,Y=6
故原式=X-2Y=-11
X=1 Y=6
-11
由题知x=1,y=6
5X+6Y-4X-8Y
=5*1+6*6-4-8*6
=-11
(X-1)²+4丨Y-6丨=0
(X-1)²≥0,丨Y-6丨≥0
(X-1)²=0,丨Y-6丨=0
x=1,y=6
原式=5x+6y-4x-8y=5+36-4-48=-11
望采纳,谢谢