Mathematics
         
语言:中文    Language:English
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 3.6798 = (25.5755*0.8962*(x+0.1))/(1+0.8962(x+0.1))*(100-10.81-1.96)/100*1/(1+0.31*1.96)+(2.07(x+0.1))/(1.40*0.101325) .
    Question type: Equation
    Solution:Original question:
     
18399
5000
= (
51151
2000
×
4481
5000
( x +
1
10
)) ÷ (1 +
4481
5000
( x +
1
10
)) × (100
1081
100
49
25
) ÷ 100 × 1 ÷ (1 +
31
100
×
49
25
) + (
207
100
( x +
1
10
)) ÷ (
7
5
×
4053
40000
)
     Multiply both sides of the equation by:(1 +
4481
5000
( x +
1
10
))
     
18399
5000
(1 +
4481
5000
( x +
1
10
)) = (
51151
2000
×
4481
5000
( x +
1
10
))(100
1081
100
49
25
) ÷ 100 × 1 ÷ (1 +
31
100
×
49
25
) + (
207
100
( x +
1
10
)) ÷ (
7
5
×
4053
40000
) × (1 +
4481
5000
( x +
1
10
))
    Remove a bracket on the left of the equation::
     
18399
5000
× 1 +
18399
5000
×
4481
5000
( x +
1
10
) = (
51151
2000
×
4481
5000
( x +
1
10
))(100
1081
100
49
25
) ÷ 100 × 1 ÷ (1 +
31
100
×
49
25
) + (
207
100
( x +
1
10
)) ÷ (
7
5
×
4053
40000
) × (1 +
4481
5000
( x +
1
10
))
    Remove a bracket on the right of the equation::
     
18399
5000
× 1 +
18399
5000
×
4481
5000
( x +
1
10
) =
51151
2000
×
4481
5000
( x +
1
10
)(100
1081
100
49
25
) ÷ 100 × 1 ÷ (1 +
31
100
×
49
25
) + (
207
100
( x +
1
10
)) ÷ (
7
5
×
4053
40000
) × (1 +
4481
5000
( x +
1
10
))
    The equation is reduced to :
     
18399
5000
+
82445919
25000000
( x +
1
10
) =
229207631
1000000000
( x +
1
10
)(100
1081
100
49
25
) ÷ (1 +
31
100
×
49
25
) + (
207
100
( x +
1
10
)) ÷ (
7
5
×
4053
40000
) × (1 +
4481
5000
( x +
1
10
))
     Multiply both sides of the equation by:(1 +
31
100
×
49
25
)
     
18399
5000
(1 +
31
100
×
49
25
) +
82445919
25000000
( x +
1
10
)(1 +
31
100
×
49
25
) =
229207631
1000000000
( x +
1
10
)(100
1081
100
49
25
) + (
207
100
( x +
1
10
)) ÷ (
7
5
×
4053
40000
) × (1 +
4481
5000
( x +
1
10
))(1 +
31
100
×
49
25
)
    Remove a bracket on the left of the equation:
     
18399
5000
× 1 +
18399
5000
×
31
100
×
49
25
+
82445919
25000000
( x +
1
10
)(1 +
31
100
×
49
25
) =
229207631
1000000000
( x +
1
10
)(100
1081
100
49
25
) + (
207
100
( x +
1
10
)) ÷ (
7
5
×
4053
40000
) × (1 +
4481
5000
( x +
1
10
))(1 +
31
100
×
49
25
)
    Remove a bracket on the right of the equation::
     
18399
5000
× 1 +
18399
5000
×
31
100
×
49
25
+
82445919
25000000
( x +
1
10
)(1 +
31
100
×
49
25
) =
229207631
1000000000
x (100
1081
100
49
25
) +
229207631
1000000000
×
1
10
(100
1081
100
49
25
) + (
207
100
( x +
1
10
)) ÷ (
7
5
×
4053
40000
) × (1 +
4481
5000
( x +
1
10
))(1 +
31
100
×
49
25
)
    The equation is reduced to :
     
18399
5000
+
27948081
12500000
+
82445919
25000000
( x +
1
10
)(1 +
31
100
×
49
25
) =
229207631
1000000000
x (100
1081
100
49
25
) +
229207631
10000000000
(100
1081
100
49
25
) + (
207
100
( x +
1
10
)) ÷ (
7
5
×
4053
40000
) × (1 +
4481
5000
( x +
1
10
))(1 +
31
100
×
49
25
)

    The solution of the equation:
        x1≈-1.215822 , keep 6 decimal places
        x2≈0.302639 , 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!





  New addition:Lenders ToolBox module(Specific location:Math OP > Lenders ToolBox ),welcome。