已知(a-2)^2+根号b+1/2小于等于0,求-2(3b^2-2a^2)+3(ab+2b^2-a^2)的值
问题描述:
已知(a-2)^2+根号b+1/2小于等于0,求-2(3b^2-2a^2)+3(ab+2b^2-a^2)的值
答
(a-2)²>=0
√(b+1/2)>=0
所以只能是(a-2)²+√(b+1/2)=0
a-2=b+1/2=0
a=2,b=-1/2
原式=-6b^2+4a^2+3ab+6b^2-3a^2
=a^2+3ab
=4-3
=1