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    Current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation x-x×56%-(x×56+x×13%)×10% = 69.99-69.99×0.36-(69.99×0.36+69.33×0.13)×10% .
    Question type: Equation
    Solution:Original question:
      x x ×
56
100
( x × 56 + x ×
13
100
) ×
10
100
=
6999
100
6999
100
×
9
25
(
6999
100
×
9
25
+
6933
100
×
13
100
) ×
10
100
     Left side of the equation =
11
25
x ( x × 56 + x ×
13
100
) ×
10
100
    The equation is transformed into :
     
11
25
x ( x × 56 + x ×
13
100
) ×
10
100
=
6999
100
6999
100
×
9
25
(
6999
100
×
9
25
+
6933
100
×
13
100
) ×
10
100
    Remove the bracket on the left of the equation:
     Left side of the equation =
11
25
x x × 56 ×
10
100
x ×
13
100
×
10
100
                                             =
11
25
x x ×
28
5
x ×
13
1000
                                             = -
5173
1000
x
    The equation is transformed into :
      -
5173
1000
x =
6999
100
6999
100
×
9
25
(
6999
100
×
9
25
+
6933
100
×
13
100
) ×
10
100
     Right side of the equation =
6999
100
62991
2500
(
6999
100
×
9
25
+
6933
100
×
13
100
) ×
10
100
                                               =
27996
625
(
6999
100
×
9
25
+
6933
100
×
13
100
) ×
10
100
    The equation is transformed into :
      -
5173
1000
x =
27996
625
(
6999
100
×
9
25
+
6933
100
×
13
100
) ×
10
100
    Remove the bracket on the right of the equation:
     Right side of the equation =
27996
625
6999
100
×
9
25
×
10
100
6933
100
×
13
100
×
10
100
                                               =
27996
625
62991
25000
90129
100000

    
        x≈-7.997810 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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