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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/(1+13%)*0.46% = A/(1+13%)*13%-751125.43 .
    Question type: Equation
    Solution:Original question:
      A ÷ (1 +
13
100
) ×
23
5000
= A ÷ (1 +
13
100
) ×
13
100
75112543
100
     Multiply both sides of the equation by:(1 +
13
100
) ,  (1 +
13
100
)
      A ×
23
5000
(1 +
13
100
) = A ×
13
100
(1 +
13
100
)
75112543
100
(1 +
13
100
)(1 +
13
100
)
    Remove a bracket on the left of the equation::
      A ×
23
5000
× 1 + A ×
23
5000
×
13
100
= A ×
13
100
(1 +
13
100
)
75112543
100
(1 +
13
100
)(1 +
13
100
)
    Remove a bracket on the right of the equation::
      A ×
23
5000
× 1 + A ×
23
5000
×
13
100
= A ×
13
100
× 1 + A ×
13
100
×
13
100
75112543
100
(1 +
13
100
)(1 +
13
100
)
    The equation is reduced to :
      A ×
23
5000
+ A ×
299
500000
= A ×
13
100
+ A ×
169
10000
75112543
100
(1 +
13
100
)(1 +
13
100
)
    The equation is reduced to :
     
2599
500000
A =
1469
10000
A
75112543
100
(1 +
13
100
)(1 +
13
100
)
    Remove a bracket on the right of the equation::
     
2599
500000
A =
1469
10000
A
75112543
100
× 1(1 +
13
100
)
75112543
100
×
13
100
(1 +
13
100
)
    The equation is reduced to :
     
2599
500000
A =
1469
10000
A
75112543
100
(1 +
13
100
)
976463059
10000
(1 +
13
100
)
    Remove a bracket on the right of the equation::
     
2599
500000
A =
1469
10000
A
75112543
100
× 1
75112543
100
×
13
100
976463059
10000
(1 +
13
100
)
    The equation is reduced to :
     
2599
500000
A =
1469
10000
A
75112543
100
976463059
10000
976463059
10000
(1 +
13
100
)

    
        A≈6768514.640355 , 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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