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    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 5.473 = ((31.5117*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:
     
5473
1000
= ((
315117
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::
     
5473
1000
= (
315117
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
))
     
5473
1000
(1 +
1029
625
( x +
1
10
)) = (
315117
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:
     
5473
1000
× 1 +
5473
1000
×
1029
625
( x +
1
10
) = (
315117
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::
     
5473
1000
× 1 +
5473
1000
×
1029
625
( x +
1
10
) =
315117
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 :
     
5473
1000
+
5631717
625000
( x +
1
10
) =
324255393
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:
     
5473
1000
+
5631717
625000
x +
5631717
625000
×
1
10
=
324255393
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::
     
5473
1000
+
5631717
625000
x +
5631717
625000
×
1
10
=
324255393
6250000
x ((100
46
5
71
50
) ÷ 100)(1 ÷ (1 +
31
100
×
71
50
)) +
324255393
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 :
     
5473
1000
+
5631717
625000
x +
5631717
6250000
=
324255393
6250000
x ((100
46
5
71
50
) ÷ 100)(1 ÷ (1 +
31
100
×
71
50
)) +
324255393
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 solution of the equation:
        x1≈-0.707386 , keep 6 decimal places
        x2≈0.136038 , 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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