Mathematics
         
语言：中文    Language:English
                                Equations   
Fold
                                Unary equation
                                Multivariate equation
                                Math OP  
Unfold
                                Linear algebra      
Unfold
                                Derivative function
                                Function image
                                Hot issues
On line Solution of Monovariate Equation：
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    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 8.16 = 22.6*0.575*(x+0.1)/(1+0.575*(x+1))*(100-11.7-1.52)/100/(1+0.31*1.52)+0.0345*(x+0.1)/(1.4*0.1) .
    Question type: Equation
    Solution:Original question:
     
204
25
 =
113
5
 ×
23
40
( x +
1
10
) ÷ (1 +
23
40
( x + 1)) × (100 −
117
10
 −
38
25
) ÷ 100 ÷ (1 +
31
100
 ×
38
25
) +
69
2000
( x +
1
10
) ÷ (
7
5
 ×
1
10
)
     Multiply both sides of the equation by:(1 +
23
40
( x + 1))
     
204
25
(1 +
23
40
( x + 1)) =
113
5
 ×
23
40
( x +
1
10
)(100 −
117
10
 −
38
25
) ÷ 100 ÷ (1 +
31
100
 ×
38
25
) +
69
2000
( x +
1
10
) ÷ (
7
5
 ×
1
10
) × (1 +
23
40
( x + 1))
    Remove a bracket on the left of the equation:：
     
204
25
 × 1 +
204
25
 ×
23
40
( x + 1) =
113
5
 ×
23
40
( x +
1
10
)(100 −
117
10
 −
38
25
) ÷ 100 ÷ (1 +
31
100
 ×
38
25
) +
69
2000
( x +
1
10
) ÷ (
7
5
 ×
1
10
) × (1 +
23
40
( x + 1))
    Remove a bracket on the right of the equation:：
     
204
25
 × 1 +
204
25
 ×
23
40
( x + 1) =
113
5
 ×
23
40
 x (100 −
117
10
 −
38
25
) ÷ 100 ÷ (1 +
31
100
 ×
38
25
) +
113
5
 ×
23
40
 ×
1
10
(100 −
117
10
 −
38
25
) ÷ 100 ÷ (1 +
31
100
 ×
38
25
)
    The equation is reduced to :
     
204
25
 +
1173
250
( x + 1) =
2599
20000
 x (100 −
117
10
 −
38
25
) ÷ (1 +
31
100
 ×
38
25
) +
2599
200000
(100 −
117
10
 −
38
25
) ÷ (1 +
31
100
 ×
38
25
) +
69
2000
( x +
1
10
) ÷ (
7
5
 ×
1
10
) × (1 +
23
40
( x + 1))
     Multiply both sides of the equation by:(1 +
31
100
 ×
38
25
)
     
204
25
(1 +
31
100
 ×
38
25
) +
1173
250
( x + 1)(1 +
31
100
 ×
38
25
) =
2599
20000
 x (100 −
117
10
 −
38
25
) +
2599
200000
(100 −
117
10
 −
38
25
) ÷ (1 +
31
100
 ×
38
25
) × (1 +
31
100
 ×
38
25
) +
69
2000
( x +
1
10
) ÷ (
7
5
 ×
1
10
) × (1 +
23
40
( x + 1))(1 +
31
100
 ×
38
25
)
    Remove a bracket on the left of the equation:
     
204
25
 × 1 +
204
25
 ×
31
100
 ×
38
25
 +
1173
250
( x + 1)(1 +
31
100
 ×
38
25
) =
2599
20000
 x (100 −
117
10
 −
38
25
) +
2599
200000
(100 −
117
10
 −
38
25
) ÷ (1 +
31
100
 ×
38
25
) × (1 +
31
100
 ×
38
25
) +
69
2000
( x +
1
10
) ÷ (
7
5
 ×
1
10
) × (1 +
23
40
( x + 1))(1 +
31
100
 ×
38
25
)
    Remove a bracket on the right of the equation:：
     
204
25
 × 1 +
204
25
 ×
31
100
 ×
38
25
 +
1173
250
( x + 1)(1 +
31
100
 ×
38
25
) =
2599
20000
 x × 100 −
2599
20000
 x ×
117
10
 −
2599
20000
 x ×
38
25
 +
2599
200000
(100 −
117
10
 −
38
25
) ÷ (1 +
31
100
 ×
38
25
)
    The equation is reduced to :
     
204
25
 +
60078
15625
 +
1173
250
( x + 1)(1 +
31
100
 ×
38
25
) =
2599
200
 x −
304083
200000
 x −
49381
250000
 x +
2599
200000
(100 −
117
10
 −
38
25
) ÷ (1 +
31
100
 ×
38
25
) × (1 +
31
100
 ×
38
25
) +
69
2000
( x +
1
10
)

    The solution of the equation:
        x1≈-2.739130 , keep 6 decimal places
        x2≈4.064788 , keep 6 decimal places    
    There are 2 solution(s).

解程的详细方法请参阅：《方程的解法》


Your problem has not been solved here? Please go to the Hot Problems section！


Return