已知|4x+3|=-5(y-1/2)²,求2(x+y)²-6(2x+y)+8(2x+y)²-3(2x+y)的值

已知|4x+3|=-5(y-1/2)²,求2(x+y)²-6(2x+y)+8(2x+y)²-3(2x+y)的值
已知|4x+3|=-5(y-1/2)²,求2(x+y)²-6(2x+y)+8(2x+y)²-3(2x+y)的值

已知|4x+3|=-5(y-1/2)²,求2(x+y)²-6(2x+y)+8(2x+y)²-3(2x+y)的值
已知|4x+3|=-5(y-1/2)²
已知|4x+3|+5(y-1/2)²=0
所以x=-3/4,y=1/2
x+y=-3/4+1/2=1/4,
2x+y=-3/2+1/2=-1
2(x+y)²-6(2x+y)+8(2x+y)²-3(2x+y)=2*1/16+6+8+3=17+1/8=137/8

∵|4x+3|=-5(y-1/2)²
|4x+3|≥0，-5(y-1/2)²≤0
∴4x+3=-5(y-1/2)²=0
∴x=3/4,y=1/2，代入原式
完了LZ就自己带进去算吧……