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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 A-A/1.06×0.06-A/1.06×0.06×12%-(A+1000)×0.03%-{(A-A/1.06×0.06-A/1.06×0.06×12%-(A+1000)×0.03%)×15%} = A×(1+3%) .
    Question type: Equation
    Solution:Original question:
      A A ÷
53
50
×
3
50
A ÷
53
50
×
3
50
×
12
100
( A + 1000) ×
3
10000
(( A A ÷
53
50
×
3
50
A ÷
53
50
×
3
50
×
12
100
( A + 1000) ×
3
10000
) ×
15
100
) = A (1 +
3
100
)
     Left side of the equation = A A ×
3
53
A ×
9
1325
( A + 1000) ×
3
10000
(( A A ÷
53
50
×
3
50
A ÷
53
50
×
3
50
×
12
100
( A + 1000) ×
3
10000
) ×
15
100
)
                                             =
1241
1325
A ( A + 1000) ×
3
10000
(( A A ÷
53
50
×
3
50
A ÷
53
50
×
3
50
×
12
100
( A + 1000) ×
3
10000
) ×
15
100
)
    The equation is transformed into :
     
1241
1325
A ( A + 1000) ×
3
10000
(( A A ÷
53
50
×
3
50
A ÷
53
50
×
3
50
×
12
100
( A + 1000) ×
3
10000
) ×
15
100
) = A (1 +
3
100
)
    Remove the bracket on the left of the equation:
     Left side of the equation =
1241
1325
A A ×
3
10000
1000 ×
3
10000
(( A A ÷
53
50
×
3
50
A ÷
53
50
×
3
50
×
12
100
( A + 1000) ×
3
10000
) ×
15
100
)
                                             =
1241
1325
A A ×
3
10000
3
10
(( A A ÷
53
50
×
3
50
A ÷
53
50
×
3
50
×
12
100
( A + 1000) ×
3
10000
) ×
15
100
)
                                             =
496241
530000
A
3
10
(( A A ÷
53
50
×
3
50
A ÷
53
50
×
3
50
×
12
100
( A + 1000) ×
3
10000
) ×
15
100
)
                                             =
496241
530000
A
3
10
( A A ÷
53
50
×
3
50
A ÷
53
50
×
3
50
×
12
100
( A + 1000) ×
3
10000
) ×
15
100
                                             =
496241
530000
A
3
10
A ×
15
100
+ A ÷
53
50
×
3
50
×
15
100
+ A ÷
53
50
×
3
50
                                             =
496241
530000
A
3
10
A ×
15
100
+ A ×
9
1060
+ A ×
27
26500
+ ( A + 1000) ×
9
200000

    
        A≈-1.089084 , 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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