由已知条件可得:
x平方+x-2=0
(x+2)*(x-1)=0
x=-2或x=1
x=-2时,代数式=-3/2*(-2)平方-3/2*(-2)+7=-6+3+7=4
x=1时,代数式=-3/2-3/2+7=4
∵ x²+x+3=5,
∴ (-3/2)x²-(3/2)x+7=(-3/2)x²-(3/2)x-9/2+9/2+7=-(3/2)(x²+x+3)+7+(9/2)
=-(3/2)×5+23/2=(-15+23)/2=8/2=4;
∵x²+x+3=5
∴x²+x=2
∴-3/2x²-3/2x+7 = -3/2(x²+x)+7=-3/2*2+7=-3+7=4
x²+x+3=5
x²+x=2
-3/2x²-3/2x=2x(-3/2)
-3/2x²-3/2x=-3
-3/2x²-3/2x+7=-3+7=4