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Mathematical formula derivation
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Title:

If a=4 b= 1 c=6 d=4 then E=3 ①.

If a=4 b= 1 c=3 d=7 then E=5 ②.

If a=4 b=2 c=6 d=5 then E=3 ③.

If a=2 b= 1 c=6 d=4 then E=5 ④.

Formula can only be deduced by adding and subtracting absolute values and brackets!

You can add a coefficient to the formula. Of course, you will talk about many possibilities and work out one. . . Please add any questions.

Solution: according to the meaning of the question, set the formula.

E=Aa+Bb+Cc+Dd

Replace ① ② ③ ④ respectively, and then

4A+ 1B+6C+4D=3 ①

4A+ 1B+3C+7D=5 ②

4A+2B+6C+5D=3 ③

2A+ 1B+6C+4D=5 ④

According to ① ④, A=- 1 ⑤.

C =-2/3-b6 According to ③ ④.

Then, from ① ②, D=-B ⑦.

Then put ⑤ ⑤ into ①.

B=- 1 1/9,C=5/9,D= 1 1/9。

So the original formula can be e =-a-11/9b+5/9c+1/9d.