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{"sheet":"Sheet1","index":0,"n_rows":29,"n_cols":9,"rows_kept":29,"merged":[[1,1,1,11],[2,1,2,11],[3,1,3,11],[4,1,4,2],[4,4,4,9],[5,4,5,9],[6,4,6,9],[7,4,7,9],[8,4,8,9],[9,4,9,9],[10,4,10,9],[11,1,11,11],[12,4,12,9],[13,2,13,10],[14,1,14,2],[14,4,14,9],[14,10,14,11],[15,1,15,6],[15,8,15,11],[16,1,16,11],[18,1,18,11],[19,1,19,11],[20,1,20,3],[20,5,20,7],[20,8,20,11],[21,1,21,4],[21,5,21,11],[22,1,22,7],[22,8,22,11],[23,1,23,6],[23,7,23,11],[24,1,24,4],[24,5,24,11],[25,1,25,7],[25,8,25,11],[26,1,26,6],[26,7,26,11],[27,1,27,6],[27,8,27,12],[28,1,28,11]],"flags":["formulas_cached_only"]}
[]
[null,"This is the Exponential Algebraic Calculator, and it solves equations similar to:  AXv+BXv+KXv+DXv+EXv = W"]
[null,"To use this Calculator, rearrange your equation, if necessary, so that it is similar to the above.  Then delete the numbers in the following seven white input boxes.  Enter the numbers of the equation you want to solve, in terms of v, A, B, K, D, E, and W in the corresponding white input boxes.  You can enter zeros for A, B, K, D or E if your equation has less terms than the above.  If your equation is linear enter 1 for v.  (The value of v can be negative or positive, as well as a  fraction, represented by a decimal.)  For calculated results, left click on the yellow background or press the enter key."]
[null,"AXv+BXv+KXv+DXv+EXv = W."]
[null,"Exponent ",null,"v =",2]
[{"$nulls":3},"A =",2]
[{"$nulls":3},"B =",4]
[{"$nulls":3},"K =",12]
[{"$nulls":3},"D =",10]
[{"$nulls":3},"E =",20]
[{"$nulls":3},"W =",300]
[null,"The calculated results for X1 and X2 are presented below. "]
[{"$nulls":3},"X1 =",2.5]
[null,null,"Negative Value of X, which is: -1(X1)= X2"]
[{"$nulls":3},"X2 =",-2.5]
[null,"The above results are rounded to",{"$nulls":5},12,"decimal places"]
[null,"You can change the number of decimal places of X1 and X2 by deleting the blue number ABOVE, and entering the number of decimal places you prefer."]
[]
[null,"In this green section, error-checking is carried out.  The values displayed below  for X1 and X2 are NOT rounded down, because they are used to check for calculation errors, by substituting into the equation you entered."]
[null,"     The value you entered for W is rounded to the number of decimal places indicated below, for the error-checking calculations.  The rounded version of W is represented by Wr in the following calculations."]
[null,"(W is rounded to ",null,null,4,"decimal places) = Wr =",null,null,300]
[null," Not rounded: X1  = . ",{"$nulls":3},2.5]
[null,"Wc = A(X1)v+B(X1)v +K(X1)v+D(X1)v+E(X1)v  = .  ",{"$nulls":6},300]
[null,"The error for X1 is Wr - Wc  =.   ",{"$nulls":5},0]
[null,"Not rounded:  X2  =. ",{"$nulls":3},-2.5]
[null,"  Wnc  = A(X2)v+B(X2)v+K(X2)v+D(X2)v+E(X2)v  =.  ",{"$nulls":6},300]
[null,"The error for X2 is Wr-Wnc  =.   ",{"$nulls":5},0]
[null,"The above calculations are rounded to",{"$nulls":5},4,"decimal places"]
[null,"You can change the number of decimal places for the error-checking calculations by deleting the blue number above, and entering the number of decimal places you prefer.  If you enter a number that is too large, you will see rounding errors in the error-checking display boxes, consisting of numbers that are slightly above or below zero, such as 9.8987e-21 (This number is in scientific notation.)"]