若a-b=3⼀2,a的平方+b的平方=2,求(a+b)的平方的值

2024-11-24 18:07:02
推荐回答(3个)
回答1:

两边平方: (a-b)^2 = a^2 - 2ab + b^2 = 2 - 2ab=9/4
ab=-1/8
(a+b)^2 = a^2 + 2ab + b^2=2-1/4 =7/4

回答2:

a-b=3/2
(a-b)^2=9/4
a^2+b^2-2ab=9/4
2-2ab=9/4
2ab=2-9/4
2ab=-1/4

(a+b)^2
=a^2+b^2+2ab
=2-1/4
=7/4

回答3:

7/4