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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 3.7824 = （26.23*0.681*（x+0.1））/（1+0.681（x+0.1））*（100-14.9-0.96）/100*1/(1+0.31*0.96)+（1.45（x+0.1））/（1.36*0.101325） .
    Question type: Equation
    Solution:Original question:
     
2364
625
 = (
2623
100
 ×
681
1000
( x +
1
10
)) ÷ (1 +
681
1000
( x +
1
10
)) × (100 −
149
10
 −
24
25
) ÷ 100 × 1 ÷ (1 +
31
100
 ×
24
25
) + (
29
20
( x +
1
10
)) ÷ (
34
25
 ×
4053
40000
)
     Multiply both sides of the equation by:(1 +
681
1000
( x +
1
10
))
     
2364
625
(1 +
681
1000
( x +
1
10
)) = (
2623
100
 ×
681
1000
( x +
1
10
))(100 −
149
10
 −
24
25
) ÷ 100 × 1 ÷ (1 +
31
100
 ×
24
25
) + (
29
20
( x +
1
10
)) ÷ (
34
25
 ×
4053
40000
) × (1 +
681
1000
( x +
1
10
))
    Remove a bracket on the left of the equation:：
     
2364
625
 × 1 +
2364
625
 ×
681
1000
( x +
1
10
) = (
2623
100
 ×
681
1000
( x +
1
10
))(100 −
149
10
 −
24
25
) ÷ 100 × 1 ÷ (1 +
31
100
 ×
24
25
) + (
29
20
( x +
1
10
)) ÷ (
34
25
 ×
4053
40000
) × (1 +
681
1000
( x +
1
10
))
    Remove a bracket on the right of the equation:：
     
2364
625
 × 1 +
2364
625
 ×
681
1000
( x +
1
10
) =
2623
100
 ×
681
1000
( x +
1
10
)(100 −
149
10
 −
24
25
) ÷ 100 × 1 ÷ (1 +
31
100
 ×
24
25
) + (
29
20
( x +
1
10
)) ÷ (
34
25
 ×
4053
40000
) × (1 +
681
1000
( x +
1
10
))
    The equation is reduced to :
     
2364
625
 +
402471
156250
( x +
1
10
) =
1786263
10000000
( x +
1
10
)(100 −
149
10
 −
24
25
) ÷ (1 +
31
100
 ×
24
25
) + (
29
20
( x +
1
10
)) ÷ (
34
25
 ×
4053
40000
) × (1 +
681
1000
( x +
1
10
))
     Multiply both sides of the equation by:(1 +
31
100
 ×
24
25
)
     
2364
625
(1 +
31
100
 ×
24
25
) +
402471
156250
( x +
1
10
)(1 +
31
100
 ×
24
25
) =
1786263
10000000
( x +
1
10
)(100 −
149
10
 −
24
25
) + (
29
20
( x +
1
10
)) ÷ (
34
25
 ×
4053
40000
) × (1 +
681
1000
( x +
1
10
))(1 +
31
100
 ×
24
25
)
    Remove a bracket on the left of the equation:
     
2364
625
 × 1 +
2364
625
 ×
31
100
 ×
24
25
 +
402471
156250
( x +
1
10
)(1 +
31
100
 ×
24
25
) =
1786263
10000000
( x +
1
10
)(100 −
149
10
 −
24
25
) + (
29
20
( x +
1
10
)) ÷ (
34
25
 ×
4053
40000
) × (1 +
681
1000
( x +
1
10
))(1 +
31
100
 ×
24
25
)
    Remove a bracket on the right of the equation:：
     
2364
625
 × 1 +
2364
625
 ×
31
100
 ×
24
25
 +
402471
156250
( x +
1
10
)(1 +
31
100
 ×
24
25
) =
1786263
10000000
 x (100 −
149
10
 −
24
25
) +
1786263
10000000
 ×
1
10
(100 −
149
10
 −
24
25
) + (
29
20
( x +
1
10
)) ÷ (
34
25
 ×
4053
40000
) × (1 +
681
1000
( x +
1
10
))(1 +
31
100
 ×
24
25
)
    The equation is reduced to :
     
2364
625
 +
439704
390625
 +
402471
156250
( x +
1
10
)(1 +
31
100
 ×
24
25
) =
1786263
10000000
 x (100 −
149
10
 −
24
25
) +
1786263
100000000
(100 −
149
10
 −
24
25
) + (
29
20
( x +
1
10
)) ÷ (
34
25
 ×
4053
40000
) × (1 +
681
1000
( x +
1
10
))(1 +
31
100
 ×
24
25
)
    The equation is reduced to :
     
1917204
390625
 +
402471
156250
( x +
1
10
)(1 +
31
100
 ×
24
25
) =
1786263
10000000
 x (100 −
149
10
 −
24
25
) +
1786263
100000000
(100 −
149
10
 −
24
25
) + (
29
20
( x +
1
10
)) ÷ (
34
25
 ×
4053
40000
) × (1 +
681
1000
( x +
1
10
))(1 +
31
100
 ×
24
25
)
     Multiply both sides of the equation by:(
34
25
 ×
4053
40000
)
     
1917204
390625
(
34
25
 ×
4053
40000
) +
402471
156250
( x +
1
10
)(1 +
31
100
 ×
24
25
)(
34
25
 ×
4053
40000
) =
1786263
10000000
 x (100 −
149
10
 −
24
25
)(
34
25
 ×
4053
40000
) +
1786263
100000000
(100 −
149
10
 −
24
25
)(
34
25
 ×
4053
40000
) + (
29
20
( x +
1
10
))(1 +
681
1000
( x +
1
10
))(1 +
31
100
 ×
24
25
)
    Remove a bracket on the left of the equation:
     
1917204
390625
 ×
34
25
 ×
4053
40000
 +
402471
156250
( x +
1
10
)(1 +
31
100
 ×
24
25
)(
34
25
 ×
4053
40000
) =
1786263
10000000
 x (100 −
149
10
 −
24
25
)(
34
25
 ×
4053
40000
) +
1786263
100000000
(100 −
149
10
 −
24
25
)(
34
25
 ×
4053
40000
) + (
29
20
( x +
1
10
))(1 +
681
1000
( x +
1
10
))(1 +
31
100
 ×
24
25
)
    Remove a bracket on the right of the equation:：
     
1917204
390625
 ×
34
25
 ×
4053
40000
 +
402471
156250
( x +
1
10
)(1 +
31
100
 ×
24
25
)(
34
25
 ×
4053
40000
) =
1786263
10000000
 x × 100(
34
25
 ×
4053
40000
) −
1786263
10000000
 x ×
149
10
(
34
25
 ×
4053
40000
) −
1786263
10000000
 x ×
24
25
(
34
25
 ×
4053
40000
)

    The solution of the equation:
        x1≈-1.568429 , keep 6 decimal places
        x2≈0.319949 , keep 6 decimal places    
    There are 2 solution(s).

解程的详细方法请参阅：《方程的解法》


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