How to Solve a+b+c+d=abcd=e in Neutral Operations

Step-by-Step Guide

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   Step 1: Open a new Excel workbook and then list as text the following steps

   b may also not equal 1, due to Addition and Multiplication both being subject to the Law of Commutation., Let a+b = 10+ 10/9 = 90/9 +10/9 = 100/9 = x Let a*b = 10/1*10/9 = 100/9 = x √ check they are equal.
   
   Let a^2 /(a-1) = 10^2 /9 = 100/9 = x √ Let b^2 / (b-1) = (10/9)^2 / (10/9
   - 9/9) = 100/81 / 1/9 = 100/81 * 9/1 = 100/9 = x √ , Let a+b+c = 10 + 10/9 +
   1.0989010989011 = y =
   12.2100122100122 Let a*b*c = 10 * 10/9 *
   1.0989010989011 = y =
   12.2100122100122 √ , Let a+b+c+d = 10+10/9 +1.0989010989011 +1.08920596884871 = e=13.2992181788609 Let a*b*c*d = 10 *10/9 *1.0989010989011 *
   1.08920596884871 = e=13.2992181788609√ Problem solved √ , so long as the area has 1 unit of thickness.
   
   Notice that Addition and Multiplication are both Commutative, and we might just as easily have started off by subtracting a from both sides instead of b.
   
   However, Subtraction is NOT commutative, e.g. 7-4 does not equal 4-7.
   
   Find it is equally true for a+b=a*b that b/(b-1) = a.
   
   Also notice that if a+b = a*b = w, then a^2 /(a-1) = b^2 / (b-1) = w.
   
   This has the property of Symmetry, which is a very hot item in Mathematics these days! , For more art charts and graphs, you might also want to click on Category:
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   Step 2: adjust the column width to accommodate

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   Step 3: and save the preliminary work.

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   Step 4: Let a+b = a*b; then Do a+b-b = ab-b

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   Step 5: then Do a = b(a-1)

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   Step 6: then Do a/(a-1) = b and b has been isolated and defined in terms of a and 1.

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   Step 7: Realize a may not = 1

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   Step 8: or division by 0 will result in the denominator

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   Step 9: in which case b = Infinity (just as it does for slope y/x of the y axis in the Cartesian Plane

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    Step 10: where x=0 or x approaches 0 as closely as one pleases).

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    Step 11: Let a = 10; Given that a/(a-1) = b

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    Step 12: b = 10/9 Test the original hypothesis: Does a+b = a*b = x?

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    Step 13: If a+b = a*b = x =100/9 then to find c of a+b+c+d = a*b*c*d = e

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    Step 14: Let 100/9 +c = 100/9 *c = y

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    Step 15: then Do 100/9 +c-c =(100/9 *c)-c = y

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    Step 16: then Do 100/9 = c(100/9 - 1)

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    Step 17: then Do 100/9 / (100/9 -1) = c = 1.0989010989011

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    Step 18: then Test hypothesis: a+b+c = a*b*c = y?

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    Step 19: Find that because a+b+c = a*b*c =12.2100122100122

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    Step 20: to find d of a+b+c+d =a*b*c*d =e

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    Step 21: Let 12.2100122100122 + d = 12.2100122100122 * d

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    Step 22: then Do 12.2100122100122 + d-d =(12.2100122100122 *d) - d

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    Step 23: then Do 12.2100122100122 = d*(12.2100122100122 - 1)

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    Step 24: then Do 12.2100122100122 / (12.2100122100122 - 1) = d = 1.08920596884871

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    Step 25: then Test the hypothesis: does a+b+c+d = a*b*c*d = e?

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    Step 26: Realize that in this way

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    Step 27: Mother Nature may decide whether she wants to add a length or an area as she continues to grow

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    Step 28: using the equivalent amount of resources.

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    Step 29: Make use of helper articles when proceeding through this tutorial: See the Related LifeGuide Hubs below and the article How to Do the Sub Steps of Neutral Operations for a list of articles related to Excel

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    Step 30: Geometric and/or Trigonometric Art

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    Step 31: Charting/Diagramming and Algebraic Formulation relating to Neutral Operations.

Detailed Guide

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