a,b是一元二次方程2x^2-3x-1=0的两个实数根
a+b=3/2, ab=-1/2
(1)(a-b)^2=a^2-2ab+b^2
=a^2+2ab+b^2-4ab
=(a+b)^2-4ab
=9/4+4×1/2
=17/4
(2).b/a+a/b
=(b^2+a^2)/ab
=(a^2+2ab+b^2-2ab)/ab
=[(a+b)^2]/ab-2
=9/4÷(-1/2)-2
=-13/2
(3)(a-2)(b-2)
=ab-2a-2b+4
=ab-2(a+b)+4
=-1/2-2×3/2+4
=1/2