WA+WB=1
WA*2.8954+WB*0.7864=5

WA? WB?


有誰會請幫幫我喔.. 謝謝!

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2005-05-20 17:04
WA+WB=1
WA*2.8954+WB*0.7864=5

WA? WB?

<answer>

WA+AB=1 ==> WA=1-WB
將此 代入 第二式

WA*2.8954 + WB*0.7864 = 5
(1-WB)*2.8954 +0.7864WB = 5
2.8954 - 2.8954WB + 0.7864WB = 5
-2.8954WB+ 0.7864WB = 5 - 2.8954
-2.109WB = 2.1046
WB= 2.1046 / -2.109
WB=-0.997913703
WA=1-WB= 1- (-0.997913703)= 1.997913703

驗算
1.997913703 * 2.8954 + 0.7864(-0.997913703 )
= 5.765813567 - 0.779613603 = 5.???
方法是如此 小數點精確度的問題 故差一點點

2005-07-14 14:13
WA+WB=1
WA*2.8954+WB*0.7864=5

WA? WB?

Ans:

WA+WB=1
2.8954*WA+2.8954*WB=2.8954-------1式
WA*2.8954+WB*0.7864=5-------2式
2式-1式=-2.109*WB=4
WB=-4000/2109
WA=1-WB
1-(-4000/2109)=2109/2109+4000/2109=6109/2109

WB=-4000/2109
WA=6109/2109 #