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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 3.9783 = (28.02*0.369*(x+0.1))/(1+0.369(x+0.1))*(100-11.4-6.6)/100*1/(1+0.31*1.14)+(1.45(x+0.1))/(1.3*0.101325) .
    Question type: Equation
    Solution:Original question:
     
39783
10000
= (
1401
50
×
369
1000
( x +
1
10
)) ÷ (1 +
369
1000
( x +
1
10
)) × (100
57
5
33
5
) ÷ 100 × 1 ÷ (1 +
31
100
×
57
50
) + (
29
20
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)
     Multiply both sides of the equation by:(1 +
369
1000
( x +
1
10
))
     
39783
10000
(1 +
369
1000
( x +
1
10
)) = (
1401
50
×
369
1000
( x +
1
10
))(100
57
5
33
5
) ÷ 100 × 1 ÷ (1 +
31
100
×
57
50
) + (
29
20
( x +
1
10
)) ÷ (
13
10
×
4053
40000
) × (1 +
369
1000
( x +
1
10
))
    Remove a bracket on the left of the equation::
     
39783
10000
× 1 +
39783
10000
×
369
1000
( x +
1
10
) = (
1401
50
×
369
1000
( x +
1
10
))(100
57
5
33
5
) ÷ 100 × 1 ÷ (1 +
31
100
×
57
50
) + (
29
20
( x +
1
10
)) ÷ (
13
10
×
4053
40000
) × (1 +
369
1000
( x +
1
10
))
    Remove a bracket on the right of the equation::
     
39783
10000
× 1 +
39783
10000
×
369
1000
( x +
1
10
) =
1401
50
×
369
1000
( x +
1
10
)(100
57
5
33
5
) ÷ 100 × 1 ÷ (1 +
31
100
×
57
50
) + (
29
20
( x +
1
10
)) ÷ (
13
10
×
4053
40000
) × (1 +
369
1000
( x +
1
10
))
    The equation is reduced to :
     
39783
10000
+
14679927
10000000
( x +
1
10
) =
516969
5000000
( x +
1
10
)(100
57
5
33
5
) ÷ (1 +
31
100
×
57
50
) + (
29
20
( x +
1
10
)) ÷ (
13
10
×
4053
40000
) × (1 +
369
1000
( x +
1
10
))
     Multiply both sides of the equation by:(1 +
31
100
×
57
50
)
     
39783
10000
(1 +
31
100
×
57
50
) +
14679927
10000000
( x +
1
10
)(1 +
31
100
×
57
50
) =
516969
5000000
( x +
1
10
)(100
57
5
33
5
) + (
29
20
( x +
1
10
)) ÷ (
13
10
×
4053
40000
) × (1 +
369
1000
( x +
1
10
))(1 +
31
100
×
57
50
)
    Remove a bracket on the left of the equation:
     
39783
10000
× 1 +
39783
10000
×
31
100
×
57
50
+
14679927
10000000
( x +
1
10
)(1 +
31
100
×
57
50
) =
516969
5000000
( x +
1
10
)(100
57
5
33
5
) + (
29
20
( x +
1
10
)) ÷ (
13
10
×
4053
40000
) × (1 +
369
1000
( x +
1
10
))(1 +
31
100
×
57
50
)
    Remove a bracket on the right of the equation::
     
39783
10000
× 1 +
39783
10000
×
31
100
×
57
50
+
14679927
10000000
( x +
1
10
)(1 +
31
100
×
57
50
) =
516969
5000000
x (100
57
5
33
5
) +
516969
5000000
×
1
10
(100
57
5
33
5
) + (
29
20
( x +
1
10
)) ÷ (
13
10
×
4053
40000
) × (1 +
369
1000
( x +
1
10
))(1 +
31
100
×
57
50
)
    The equation is reduced to :
     
39783
10000
+
70296561
50000000
+
14679927
10000000
( x +
1
10
)(1 +
31
100
×
57
50
) =
516969
5000000
x (100
57
5
33
5
) +
516969
50000000
(100
57
5
33
5
) + (
29
20
( x +
1
10
)) ÷ (
13
10
×
4053
40000
) × (1 +
369
1000
( x +
1
10
))(1 +
31
100
×
57
50
)

    The solution of the equation:
        x1≈-2.810027 , keep 6 decimal places
        x2≈0.729427 , 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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