(a+根号2)的平方与/b+1/互为相反数,则1/b-a的值
问题描述:
(a+根号2)的平方与/b+1/互为相反数,则1/b-a的值
答
(a+√2)^2+/b+1/=0
(a+√2)^2=0
a=-√2
/b+1/=0
b=-1
1/(b-a)
=1/(-1+√2)
=1/(√2-1)
=(√2+1)/(√2-1)(√2+1)
=√2+1