若a=根号2-1,则a²-根号2a的值是
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若a=根号2-1,则a²-根号2a的值是若a=根号2-1,则a²-根号2a的值是若a=根号2-1,则a²-根号2a的值是解a=√2-1a²-√2a=a(a-√2
若a=根号2-1,则a²-根号2a的值是
若a=根号2-1,则a²-根号2a的值是
若a=根号2-1,则a²-根号2a的值是
解
a=√2-1
a²-√2a
=a(a-√2)
=(√2-1)(√2-1-√2)
=(√2-1)×(-1)
=1-√2
a²-根号2a
=a(a-根号2)
=(根号2-1)×[(根号2-1)-根号2]
=(根号2-1)×(-1)
=2-根号2