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 7.96 = 30.56*0.847*(x+0.1)/(1+0.847*(x+0.1))*(100-8.28-1.4)/100/(1+0.31*1.4)+2.26*(x+0.1)/(1.3*0.1) .
    Question type: Equation
    Solution:Original question:
     
199
25
 =
764
25
 ×
847
1000
( x +
1
10
) ÷ (1 +
847
1000
( x +
1
10
)) × (100 −
207
25
 −
7
5
) ÷ 100 ÷ (1 +
31
100
 ×
7
5
) +
113
50
( x +
1
10
) ÷ (
13
10
 ×
1
10
)
     Multiply both sides of the equation by:(1 +
847
1000
( x +
1
10
))
     
199
25
(1 +
847
1000
( x +
1
10
)) =
764
25
 ×
847
1000
( x +
1
10
)(100 −
207
25
 −
7
5
) ÷ 100 ÷ (1 +
31
100
 ×
7
5
) +
113
50
( x +
1
10
) ÷ (
13
10
 ×
1
10
) × (1 +
847
1000
( x +
1
10
))
    Remove a bracket on the left of the equation:：
     
199
25
 × 1 +
199
25
 ×
847
1000
( x +
1
10
) =
764
25
 ×
847
1000
( x +
1
10
)(100 −
207
25
 −
7
5
) ÷ 100 ÷ (1 +
31
100
 ×
7
5
) +
113
50
( x +
1
10
) ÷ (
13
10
 ×
1
10
) × (1 +
847
1000
( x +
1
10
))
    Remove a bracket on the right of the equation:：
     
199
25
 × 1 +
199
25
 ×
847
1000
( x +
1
10
) =
764
25
 ×
847
1000
 x (100 −
207
25
 −
7
5
) ÷ 100 ÷ (1 +
31
100
 ×
7
5
) +
764
25
 ×
847
1000
 ×
1
10
(100 −
207
25
 −
7
5
) ÷ 100 ÷ (1 +
31
100
 ×
7
5
)
    The equation is reduced to :
     
199
25
 +
168553
25000
( x +
1
10
) =
161777
625000
 x (100 −
207
25
 −
7
5
) ÷ (1 +
31
100
 ×
7
5
) +
161777
6250000
(100 −
207
25
 −
7
5
) ÷ (1 +
31
100
 ×
7
5
) +
113
50
( x +
1
10
) ÷ (
13
10
 ×
1
10
) × (1 +
847
1000
( x +
1
10
))
     Multiply both sides of the equation by:(1 +
31
100
 ×
7
5
)
     
199
25
(1 +
31
100
 ×
7
5
) +
168553
25000
( x +
1
10
)(1 +
31
100
 ×
7
5
) =
161777
625000
 x (100 −
207
25
 −
7
5
) +
161777
6250000
(100 −
207
25
 −
7
5
) ÷ (1 +
31
100
 ×
7
5
) × (1 +
31
100
 ×
7
5
) +
113
50
( x +
1
10
) ÷ (
13
10
 ×
1
10
) × (1 +
847
1000
( x +
1
10
))(1 +
31
100
 ×
7
5
)
    Remove a bracket on the left of the equation:
     
199
25
 × 1 +
199
25
 ×
31
100
 ×
7
5
 +
168553
25000
( x +
1
10
)(1 +
31
100
 ×
7
5
) =
161777
625000
 x (100 −
207
25
 −
7
5
) +
161777
6250000
(100 −
207
25
 −
7
5
) ÷ (1 +
31
100
 ×
7
5
) × (1 +
31
100
 ×
7
5
) +
113
50
( x +
1
10
) ÷ (
13
10
 ×
1
10
) × (1 +
847
1000
( x +
1
10
))(1 +
31
100
 ×
7
5
)
    Remove a bracket on the right of the equation:：
     
199
25
 × 1 +
199
25
 ×
31
100
 ×
7
5
 +
168553
25000
( x +
1
10
)(1 +
31
100
 ×
7
5
) =
161777
625000
 x × 100 −
161777
625000
 x ×
207
25
 −
161777
625000
 x ×
7
5
 +
161777
6250000
(100 −
207
25
 −
7
5
) ÷ (1 +
31
100
 ×
7
5
)
    The equation is reduced to :
     
199
25
 +
43183
12500
 +
168553
25000
( x +
1
10
)(1 +
31
100
 ×
7
5
) =
161777
6250
 x −
33487839
15625000
 x −
1132439
3125000
 x +
161777
6250000
(100 −
207
25
 −
7
5
) ÷ (1 +
31
100
 ×
7
5
) × (1 +
31
100
 ×
7
5
) +
113
50
( x +
1
10
)

    The solution of the equation:
        x1≈-1.280638 , keep 6 decimal places
        x2≈0.732546 , 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