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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 2.3421 = ((18.41*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:
     
23421
10000
= ((
1841
100
×
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
))))
    Remove a bracket on the right of the equation::
     
23421
10000
= (
1841
100
×
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
))
     
23421
10000
(1 +
69
125
( x +
1
10
)) = (
1841
100
×
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
)))
    Remove a bracket on the left of the equation:
     
23421
10000
× 1 +
23421
10000
×
69
125
( x +
1
10
) = (
1841
100
×
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
)))
    Remove a bracket on the right of the equation::
     
23421
10000
× 1 +
23421
10000
×
69
125
( x +
1
10
) =
1841
100
×
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
)))
    The equation is reduced to :
     
23421
10000
+
1616049
1250000
( x +
1
10
) =
127029
12500
( x +
1
10
)((100
1881
100
49
50
) ÷ 100)(1 ÷ (1 +
31
100
×
49
50
) + ((
169
50
( x +
1
10
)) ÷ (
143
100
×
4053
40000
)))
    Remove a bracket on the left of the equation:
     
23421
10000
+
1616049
1250000
x +
1616049
1250000
×
1
10
=
127029
12500
( x +
1
10
)((100
1881
100
49
50
) ÷ 100)(1 ÷ (1 +
31
100
×
49
50
) + ((
169
50
( x +
1
10
)) ÷ (
143
100
×
4053
40000
)))
    Remove a bracket on the right of the equation::
     
23421
10000
+
1616049
1250000
x +
1616049
1250000
×
1
10
=
127029
12500
x ((100
1881
100
49
50
) ÷ 100)(1 ÷ (1 +
31
100
×
49
50
) + ((
169
50
( x +
1
10
)) ÷ (
143
100
×
4053
40000
))) +
127029
12500
×
1
10
((100
1881
100
49
50
) ÷ 100)(1 ÷ (1 +
31
100
×
49
50
) + ((
169
50
( x +
1
10
)) ÷ (
143
100
×
4053
40000
)))
    The equation is reduced to :
     
23421
10000
+
1616049
1250000
x +
1616049
12500000
=
127029
12500
x ((100
1881
100
49
50
) ÷ 100)(1 ÷ (1 +
31
100
×
49
50
) + ((
169
50
( x +
1
10
)) ÷ (
143
100
×
4053
40000
))) +
127029
125000
((100
1881
100
49
50
) ÷ 100)(1 ÷ (1 +
31
100
×
49
50
) + ((
169
50
( x +
1
10
)) ÷ (
143
100
×
4053
40000
)))

    The solution of the equation:
        x1≈-1.911594 , keep 6 decimal places
        x2≈0.372289 , 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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