x和y互为倒数,且x-y=5,求x2+y2的值.

问题描述:

x和y互为倒数,且x-y=5,求x2+y2的值.

x和y互为倒数,
xy=1
x^2+y^2
=(x-y)^2+2xy
=5^2+2*1
=25+2
=27