6(a+b)=10(b+c)=5(c+a),且ab+be+ca=189,求ab-bc-ca=?

2017-05-07 11:13 am

回答 (1)

2017-05-07 2:32 pm
✔ 最佳答案
Sol
e改為c
[6,10,5]=60
6(a+b)=10(b+c)=5(c+a)=60p
a+b=10p
b+c=6p
c+a=12p
a+b+c=14p
a=8p,b=2p,c=4p
ab+bc+ca
=16p^2+8p^2+32p^2
=56p^2
56p^2=189
p^2=27/8
ab-bc-ca
=16p^2-8p^2-32p^2
=-24p^2
=-81


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