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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 3.7824 = (18.24*0.552*(x+0.1))/(1+0.552(x+0.1))*(100-18.81-0.98)/100*1/(1+0.31*0.98)+(3.38(x+0.1))/(1.43*0.101325) .
    Question type: Equation
    Solution:Original question:
     
2364
625
= (
456
25
×
69
125
( x +
1
10
)) ÷ (1 +
69
125
( x +
1
10
)) × (100
1881
100
49
50
) ÷ 100 × 1 ÷ (1 +
31
100
×
49
50
) + (
169
50
( x +
1
10
)) ÷ (
143
100
×
4053
40000
)
     Multiply both sides of the equation by:(1 +
69
125
( x +
1
10
))
     
2364
625
(1 +
69
125
( x +
1
10
)) = (
456
25
×
69
125
( x +
1
10
))(100
1881
100
49
50
) ÷ 100 × 1 ÷ (1 +
31
100
×
49
50
) + (
169
50
( x +
1
10
)) ÷ (
143
100
×
4053
40000
) × (1 +
69
125
( x +
1
10
))
    Remove a bracket on the left of the equation::
     
2364
625
× 1 +
2364
625
×
69
125
( x +
1
10
) = (
456
25
×
69
125
( x +
1
10
))(100
1881
100
49
50
) ÷ 100 × 1 ÷ (1 +
31
100
×
49
50
) + (
169
50
( x +
1
10
)) ÷ (
143
100
×
4053
40000
) × (1 +
69
125
( x +
1
10
))
    Remove a bracket on the right of the equation::
     
2364
625
× 1 +
2364
625
×
69
125
( x +
1
10
) =
456
25
×
69
125
( x +
1
10
)(100
1881
100
49
50
) ÷ 100 × 1 ÷ (1 +
31
100
×
49
50
) + (
169
50
( x +
1
10
)) ÷ (
143
100
×
4053
40000
) × (1 +
69
125
( x +
1
10
))
    The equation is reduced to :
     
2364
625
+
163116
78125
( x +
1
10
) =
7866
78125
( x +
1
10
)(100
1881
100
49
50
) ÷ (1 +
31
100
×
49
50
) + (
169
50
( x +
1
10
)) ÷ (
143
100
×
4053
40000
) × (1 +
69
125
( x +
1
10
))
     Multiply both sides of the equation by:(1 +
31
100
×
49
50
)
     
2364
625
(1 +
31
100
×
49
50
) +
163116
78125
( x +
1
10
)(1 +
31
100
×
49
50
) =
7866
78125
( x +
1
10
)(100
1881
100
49
50
) + (
169
50
( x +
1
10
)) ÷ (
143
100
×
4053
40000
) × (1 +
69
125
( x +
1
10
))(1 +
31
100
×
49
50
)
    Remove a bracket on the left of the equation:
     
2364
625
× 1 +
2364
625
×
31
100
×
49
50
+
163116
78125
( x +
1
10
)(1 +
31
100
×
49
50
) =
7866
78125
( x +
1
10
)(100
1881
100
49
50
) + (
169
50
( x +
1
10
)) ÷ (
143
100
×
4053
40000
) × (1 +
69
125
( x +
1
10
))(1 +
31
100
×
49
50
)
    Remove a bracket on the right of the equation::
     
2364
625
× 1 +
2364
625
×
31
100
×
49
50
+
163116
78125
( x +
1
10
)(1 +
31
100
×
49
50
) =
7866
78125
x (100
1881
100
49
50
) +
7866
78125
×
1
10
(100
1881
100
49
50
) + (
169
50
( x +
1
10
)) ÷ (
143
100
×
4053
40000
) × (1 +
69
125
( x +
1
10
))(1 +
31
100
×
49
50
)
    The equation is reduced to :
     
2364
625
+
897729
781250
+
163116
78125
( x +
1
10
)(1 +
31
100
×
49
50
) =
7866
78125
x (100
1881
100
49
50
) +
3933
390625
(100
1881
100
49
50
) + (
169
50
( x +
1
10
)) ÷ (
143
100
×
4053
40000
) × (1 +
69
125
( x +
1
10
))(1 +
31
100
×
49
50
)
    The equation is reduced to :
     
3852729
781250
+
163116
78125
( x +
1
10
)(1 +
31
100
×
49
50
) =
7866
78125
x (100
1881
100
49
50
) +
3933
390625
(100
1881
100
49
50
) + (
169
50
( x +
1
10
)) ÷ (
143
100
×
4053
40000
) × (1 +
69
125
( x +
1
10
))(1 +
31
100
×
49
50
)
     Multiply both sides of the equation by:(
143
100
×
4053
40000
)
     
3852729
781250
(
143
100
×
4053
40000
) +
163116
78125
( x +
1
10
)(1 +
31
100
×
49
50
)(
143
100
×
4053
40000
) =
7866
78125
x (100
1881
100
49
50
)(
143
100
×
4053
40000
) +
3933
390625
(100
1881
100
49
50
)(
143
100
×
4053
40000
) + (
169
50
( x +
1
10
))(1 +
69
125
( x +
1
10
))(1 +
31
100
×
49
50
)
    Remove a bracket on the left of the equation:
     
3852729
781250
×
143
100
×
4053
40000
+
163116
78125
( x +
1
10
)(1 +
31
100
×
49
50
)(
143
100
×
4053
40000
) =
7866
78125
x (100
1881
100
49
50
)(
143
100
×
4053
40000
) +
3933
390625
(100
1881
100
49
50
)(
143
100
×
4053
40000
) + (
169
50
( x +
1
10
))(1 +
69
125
( x +
1
10
))(1 +
31
100
×
49
50
)
    Remove a bracket on the right of the equation::
     
3852729
781250
×
143
100
×
4053
40000
+
163116
78125
( x +
1
10
)(1 +
31
100
×
49
50
)(
143
100
×
4053
40000
) =
7866
78125
x × 100(
143
100
×
4053
40000
)
7866
78125
x ×
1881
100
(
143
100
×
4053
40000
)
7866
78125
x ×
49
50
(
143
100
×
4053
40000
)

    The solution of the equation:
        x1≈-1.911594 , keep 6 decimal places
        x2≈0.821130 , 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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