若a=2b+1,則b平方-a平方的最大整數值是多少?

2017-03-09 10:07 pm

回答 (1)

2017-03-09 11:22 pm
Sol
p=b^2-a^2
=b^2-(2b+1)^2
=b^2-(4b^2+4b+1)
=-3b^2-4b-1
=-3(b^2+4b/3)-1
=-3(b^2+2*2b/3)-1
=-3(b^2+2*2b/3+4/9)+3*4/9-1
=-3(b+2/3)^2+1/4
p<=1/4
p<=0
最大整數值是多少0


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