|a+1|+(3a+1)的平方=0 (2a平方-7b-2)+2(3a-5)-4(a平方-b)的值

问题描述:

|a+1|+(3a+1)的平方=0 (2a平方-7b-2)+2(3a-5)-4(a平方-b)的值

已知|a+1|+(3b+1)^2=0,因为|a+1|》0,(3b+1)^2》0,它们两项相加等于0的话,就只有|a+1|=0且(3b+1)^2=0.由此解出a=-1,b=-1/3 .
将a=-1,b=-1/3代入下面的式子
(2a^2-7b-2)+2(3a-5)-4(a^2-b)
=[2(-1)^2-7(-1/3)-2]+2[3(-1)-5]-4[(-1)^2-(-1/3)]
=2+7/3-2+2(-3-5)-4(1+1/3)
=7/3-16-16/3
=-19