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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 5.64 = ((32.5117*1.6464(x+0.1))/(1+1.6464(x+0.1))*((100-9.2-1.42)/100)*(1/(1+0.31*1.42))+((6.45(x+0.1))/(1.45*0.101325)) ) .
    Question type: Equation
    Solution:Original question:
     
141
25
= ((
325117
10000
×
1029
625
( x +
1
10
)) ÷ (1 +
1029
625
( x +
1
10
)) × ((100
46
5
71
50
) ÷ 100)(1 ÷ (1 +
31
100
×
71
50
)) + ((
129
20
( x +
1
10
)) ÷ (
29
20
×
4053
40000
)))
    Remove a bracket on the right of the equation::
     
141
25
= (
325117
10000
×
1029
625
( x +
1
10
)) ÷ (1 +
1029
625
( x +
1
10
)) × ((100
46
5
71
50
) ÷ 100)(1 ÷ (1 +
31
100
×
71
50
)) + ((
129
20
( x +
1
10
)) ÷ (
29
20
×
4053
40000
))
     Multiply both sides of the equation by:(1 +
1029
625
( x +
1
10
))
     
141
25
(1 +
1029
625
( x +
1
10
)) = (
325117
10000
×
1029
625
( x +
1
10
))((100
46
5
71
50
) ÷ 100)(1 ÷ (1 +
31
100
×
71
50
)) + ((
129
20
( x +
1
10
)) ÷ (
29
20
×
4053
40000
))(1 +
1029
625
( x +
1
10
))
    Remove a bracket on the left of the equation:
     
141
25
× 1 +
141
25
×
1029
625
( x +
1
10
) = (
325117
10000
×
1029
625
( x +
1
10
))((100
46
5
71
50
) ÷ 100)(1 ÷ (1 +
31
100
×
71
50
)) + ((
129
20
( x +
1
10
)) ÷ (
29
20
×
4053
40000
))(1 +
1029
625
( x +
1
10
))
    Remove a bracket on the right of the equation::
     
141
25
× 1 +
141
25
×
1029
625
( x +
1
10
) =
325117
10000
×
1029
625
( x +
1
10
)((100
46
5
71
50
) ÷ 100)(1 ÷ (1 +
31
100
×
71
50
)) + ((
129
20
( x +
1
10
)) ÷ (
29
20
×
4053
40000
))(1 +
1029
625
( x +
1
10
))
    The equation is reduced to :
     
141
25
+
145089
15625
( x +
1
10
) =
334545393
6250000
( x +
1
10
)((100
46
5
71
50
) ÷ 100)(1 ÷ (1 +
31
100
×
71
50
)) + ((
129
20
( x +
1
10
)) ÷ (
29
20
×
4053
40000
))(1 +
1029
625
( x +
1
10
))
    Remove a bracket on the left of the equation:
     
141
25
+
145089
15625
x +
145089
15625
×
1
10
=
334545393
6250000
( x +
1
10
)((100
46
5
71
50
) ÷ 100)(1 ÷ (1 +
31
100
×
71
50
)) + ((
129
20
( x +
1
10
)) ÷ (
29
20
×
4053
40000
))(1 +
1029
625
( x +
1
10
))
    Remove a bracket on the right of the equation::
     
141
25
+
145089
15625
x +
145089
15625
×
1
10
=
334545393
6250000
x ((100
46
5
71
50
) ÷ 100)(1 ÷ (1 +
31
100
×
71
50
)) +
334545393
6250000
×
1
10
((100
46
5
71
50
) ÷ 100)(1 ÷ (1 +
31
100
×
71
50
)) + ((
129
20
( x +
1
10
)) ÷ (
29
20
×
4053
40000
))(1 +
1029
625
( x +
1
10
))
    The equation is reduced to :
     
141
25
+
145089
15625
x +
145089
156250
=
334545393
6250000
x ((100
46
5
71
50
) ÷ 100)(1 ÷ (1 +
31
100
×
71
50
)) +
334545393
62500000
((100
46
5
71
50
) ÷ 100)(1 ÷ (1 +
31
100
×
71
50
)) + ((
129
20
( x +
1
10
)) ÷ (
29
20
×
4053
40000
))(1 +
1029
625
( x +
1
10
))
    The equation is reduced to :
     
1026339
156250
+
145089
15625
x =
334545393
6250000
x ((100
46
5
71
50
) ÷ 100)(1 ÷ (1 +
31
100
×
71
50
)) +
334545393
62500000
((100
46
5
71
50
) ÷ 100)(1 ÷ (1 +
31
100
×
71
50
)) + ((
129
20
( x +
1
10
)) ÷ (
29
20
×
4053
40000
))(1 +
1029
625
( x +
1
10
))
    Remove a bracket on the right of the equation::
     
1026339
156250
+
145089
15625
x =
334545393
6250000
x (100
46
5
71
50
) ÷ 100 × (1 ÷ (1 +
31
100
×
71
50
)) +
334545393
62500000
((100
46
5
71
50
) ÷ 100)(1 ÷ (1 +
31
100
×
71
50
)) + ((
129
20
( x +
1
10
)) ÷ (
29
20
×
4053
40000
))(1 +
1029
625
( x +
1
10
))
    The equation is reduced to :
     
1026339
156250
+
145089
15625
x =
334545393
625000000
x (100
46
5
71
50
)(1 ÷ (1 +
31
100
×
71
50
)) +
334545393
62500000
((100
46
5
71
50
) ÷ 100)(1 ÷ (1 +
31
100
×
71
50
)) + ((
129
20
( x +
1
10
)) ÷ (
29
20
×
4053
40000
))(1 +
1029
625
( x +
1
10
))
    Remove a bracket on the right of the equation::
     
1026339
156250
+
145089
15625
x =
334545393
625000000
x × 100(1 ÷ (1 +
31
100
×
71
50
))
334545393
625000000
x ×
46
5
(1 ÷ (1 +
31
100
×
71
50
))
334545393
625000000
x ×
71
50
(1 ÷ (1 +
31
100
×
71
50
))

    The solution of the equation:
        x1≈-0.707386 , keep 6 decimal places
        x2≈0.135650 , 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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