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 8.2298 = ((20.26*0.3502(x+0.1))/(1+0.3502(x+0.1))*((100-20.06-3.28)/100)*(1/(1+0.31*3.28))+((3.25(x+0.1))/(1.49*0.101325)) ) .
    Question type: Equation
    Solution:Original question:
     
41149
5000
= ((
1013
50
×
1751
5000
( x +
1
10
)) ÷ (1 +
1751
5000
( x +
1
10
)) × ((100 −
1003
50
−
82
25
) ÷ 100)(1 ÷ (1 +
31
100
×
82
25
)) + ((
13
4
( x +
1
10
)) ÷ (
149
100
×
4053
40000
)))
    Remove a bracket on the right of the equation::
     
41149
5000
= (
1013
50
×
1751
5000
( x +
1
10
)) ÷ (1 +
1751
5000
( x +
1
10
)) × ((100 −
1003
50
−
82
25
) ÷ 100)(1 ÷ (1 +
31
100
×
82
25
)) + ((
13
4
( x +
1
10
)) ÷ (
149
100
×
4053
40000
))
     Multiply both sides of the equation by:(1 +
1751
5000
( x +
1
10
))
     
41149
5000
(1 +
1751
5000
( x +
1
10
)) = (
1013
50
×
1751
5000
( x +
1
10
))((100 −
1003
50
−
82
25
) ÷ 100)(1 ÷ (1 +
31
100
×
82
25
)) + ((
13
4
( x +
1
10
)) ÷ (
149
100
×
4053
40000
))(1 +
1751
5000
( x +
1
10
))
    Remove a bracket on the left of the equation:
     
41149
5000
× 1 +
41149
5000
×
1751
5000
( x +
1
10
) = (
1013
50
×
1751
5000
( x +
1
10
))((100 −
1003
50
−
82
25
) ÷ 100)(1 ÷ (1 +
31
100
×
82
25
)) + ((
13
4
( x +
1
10
)) ÷ (
149
100
×
4053
40000
))(1 +
1751
5000
( x +
1
10
))
    Remove a bracket on the right of the equation::
     
41149
5000
× 1 +
41149
5000
×
1751
5000
( x +
1
10
) =
1013
50
×
1751
5000
( x +
1
10
)((100 −
1003
50
−
82
25
) ÷ 100)(1 ÷ (1 +
31
100
×
82
25
)) + ((
13
4
( x +
1
10
)) ÷ (
149
100
×
4053
40000
))(1 +
1751
5000
( x +
1
10
))
    The equation is reduced to :
     
41149
5000
+
72051899
25000000
( x +
1
10
) =
1773763
250000
( x +
1
10
)((100 −
1003
50
−
82
25
) ÷ 100)(1 ÷ (1 +
31
100
×
82
25
)) + ((
13
4
( x +
1
10
)) ÷ (
149
100
×
4053
40000
))(1 +
1751
5000
( x +
1
10
))
    Remove a bracket on the left of the equation:
     
41149
5000
+
72051899
25000000
x +
72051899
25000000
×
1
10
=
1773763
250000
( x +
1
10
)((100 −
1003
50
−
82
25
) ÷ 100)(1 ÷ (1 +
31
100
×
82
25
)) + ((
13
4
( x +
1
10
)) ÷ (
149
100
×
4053
40000
))(1 +
1751
5000
( x +
1
10
))
    Remove a bracket on the right of the equation::
     
41149
5000
+
72051899
25000000
x +
72051899
25000000
×
1
10
=
1773763
250000
x ((100 −
1003
50
−
82
25
) ÷ 100)(1 ÷ (1 +
31
100
×
82
25
)) +
1773763
250000
×
1
10
((100 −
1003
50
−
82
25
) ÷ 100)(1 ÷ (1 +
31
100
×
82
25
)) + ((
13
4
( x +
1
10
)) ÷ (
149
100
×
4053
40000
))(1 +
1751
5000
( x +
1
10
))
    The equation is reduced to :
     
41149
5000
+
72051899
25000000
x +
72051899
250000000
=
1773763
250000
x ((100 −
1003
50
−
82
25
) ÷ 100)(1 ÷ (1 +
31
100
×
82
25
)) +
1773763
2500000
((100 −
1003
50
−
82
25
) ÷ 100)(1 ÷ (1 +
31
100
×
82
25
)) + ((
13
4
( x +
1
10
)) ÷ (
149
100
×
4053
40000
))(1 +
1751
5000
( x +
1
10
))

    The solution of the equation:
        x1≈-44.538249 , keep 6 decimal places
        x2≈-2.955511 , 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!