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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*(1-2.5%)*(1-5.2%)*(1-1.5%)*(1-6.47%)*(1-72%)*(1-0.3%)*(1-0.3%)*(1-2.13%) = 20.7 .
    Question type: Equation
    Solution:Original question:
      X (1
5
200
)(1
26
500
)(1
3
200
)(1
647
10000
)(1
72
100
)(1
3
1000
)(1
3
1000
)(1
213
10000
) =
207
10
    Remove the bracket on the left of the equation:
     Left side of the equation = X × 1(1
26
500
)(1
3
200
)(1
647
10000
)(1
72
100
)(1
3
1000
)(1
3
1000
)(1
213
10000
) X ×
5
200
(1
26
500
)
                                             = X × 1 × 1(1
3
200
)(1
647
10000
)(1
72
100
)(1
3
1000
)(1
3
1000
)(1
213
10000
) X × 1 ×
26
500
                                             = X × 1(1
3
200
)(1
647
10000
)(1
72
100
)(1
3
1000
)(1
3
1000
)(1
213
10000
) X ×
13
250
(1
3
200
)(1
647
10000
)
                                             = X × 1 × 1(1
647
10000
)(1
72
100
)(1
3
1000
)(1
3
1000
)(1
213
10000
) X × 1 ×
3
200
(1
647
10000
)
                                             = X × 1(1
647
10000
)(1
72
100
)(1
3
1000
)(1
3
1000
)(1
213
10000
) X ×
3
200
(1
647
10000
)(1
72
100
)(1
3
1000
)
                                             = X × 1 × 1(1
72
100
)(1
3
1000
)(1
3
1000
)(1
213
10000
) X × 1 ×
647
10000
(1
72
100
)(1
3
1000
)
                                             = X × 1(1
72
100
)(1
3
1000
)(1
3
1000
)(1
213
10000
) X ×
647
10000
(1
72
100
)(1
3
1000
)(1
3
1000
)(1
213
10000
)
                                             = X × 1 × 1(1
3
1000
)(1
3
1000
)(1
213
10000
) X × 1 ×
72
100
(1
3
1000
)(1
3
1000
)(1
213
10000
)
                                             = X × 1(1
3
1000
)(1
3
1000
)(1
213
10000
) X ×
18
25
(1
3
1000
)(1
3
1000
)(1
213
10000
) X ×
647
10000
                                             = X × 1 × 1(1
3
1000
)(1
213
10000
) X × 1 ×
3
1000
(1
3
1000
)(1
213
10000
) X ×
18
25
                                             = X × 1(1
3
1000
)(1
213
10000
) X ×
3
1000
(1
3
1000
)(1
213
10000
) X ×
18
25
(1
3
1000
)(1
3
1000
)
                                             = X × 1 × 1(1
213
10000
) X × 1 ×
3
1000
(1
213
10000
) X ×
3
1000
(1
3
1000
)(1
213
10000
)
                                             = X × 1(1
213
10000
) X ×
3
1000
(1
213
10000
) X ×
3
1000
(1
3
1000
)(1
213
10000
) X ×
18
25
                                             = X × 1 × 1 X × 1 ×
213
10000
X ×
3
1000
(1
213
10000
) X ×
3
1000
(1
3
1000
)
                                             = X × 1 X ×
213
10000
X ×
3
1000
(1
213
10000
) X ×
3
1000
(1
3
1000
)(1
213
10000
) X
                                             =
9787
10000
X X ×
3
1000
(1
213
10000
) X ×
3
1000
(1
3
1000
)(1
213
10000
) X ×
18
25
(1
3
1000
)
                                             =
9787
10000
X X ×
3
1000
× 1 + X ×
3
1000
×
213
10000
X ×
3
1000
(1
3
1000
)(1
213
10000
)
                                             =
9787
10000
X X ×
3
1000
+ X ×
639
10000000
X ×
3
1000
(1
3
1000
)(1
213
10000
) X ×
18
25

    
        X≈89.242616 , keep 6 decimal places
    
    There are 1 solution(s).


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