若|2x+y-3|与(y-2)²互为相反数,求4x²y-3xy的值?
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![若|2x+y-3|与(y-2)²互为相反数,求4x²y-3xy的值?](/uploads/image/z/1988290-10-0.jpg?t=%E8%8B%A5%7C2x%2By-3%7C%E4%B8%8E%28y-2%29%26%23178%3B%E4%BA%92%E4%B8%BA%E7%9B%B8%E5%8F%8D%E6%95%B0%2C%E6%B1%824x%26%23178%3By-3xy%E7%9A%84%E5%80%BC%3F)
若|2x+y-3|与(y-2)²互为相反数,求4x²y-3xy的值?
若|2x+y-3|与(y-2)²互为相反数,求4x²y-3xy的值?
若|2x+y-3|与(y-2)²互为相反数,求4x²y-3xy的值?
答:
|2x+y-3|与(y-2)²互为相反数,则有:
|2x+y-3|+(y-2)²=0
所以:
2x+y-3=0
y-2=0
解得:y=2,x=1/2
所以:
4x²y-3xy
=xy(4x-3)
=4x-3
=2-3
=-1