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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 3.8899 = (24.1*0.449*(x+0.1))/(1+0.449(x+0.1))*(100-9.66-1.06)/100*1/(1+0.31*1.06)+(2(x+0.1))/(1.30*0.101325) .
    Question type: Equation
    Solution:Original question:
     
38899
10000
= (
241
10
×
449
1000
( x +
1
10
)) ÷ (1 +
449
1000
( x +
1
10
)) × (100
483
50
53
50
) ÷ 100 × 1 ÷ (1 +
31
100
×
53
50
) + (2( x +
1
10
)) ÷ (
13
10
×
4053
40000
)
     Multiply both sides of the equation by:(1 +
449
1000
( x +
1
10
))
     
38899
10000
(1 +
449
1000
( x +
1
10
)) = (
241
10
×
449
1000
( x +
1
10
))(100
483
50
53
50
) ÷ 100 × 1 ÷ (1 +
31
100
×
53
50
) + (2( x +
1
10
)) ÷ (
13
10
×
4053
40000
) × (1 +
449
1000
( x +
1
10
))
    Remove a bracket on the left of the equation::
     
38899
10000
× 1 +
38899
10000
×
449
1000
( x +
1
10
) = (
241
10
×
449
1000
( x +
1
10
))(100
483
50
53
50
) ÷ 100 × 1 ÷ (1 +
31
100
×
53
50
) + (2( x +
1
10
)) ÷ (
13
10
×
4053
40000
) × (1 +
449
1000
( x +
1
10
))
    Remove a bracket on the right of the equation::
     
38899
10000
× 1 +
38899
10000
×
449
1000
( x +
1
10
) =
241
10
×
449
1000
( x +
1
10
)(100
483
50
53
50
) ÷ 100 × 1 ÷ (1 +
31
100
×
53
50
) + (2( x +
1
10
)) ÷ (
13
10
×
4053
40000
) × (1 +
449
1000
( x +
1
10
))
    The equation is reduced to :
     
38899
10000
+
17465651
10000000
( x +
1
10
) =
108209
1000000
( x +
1
10
)(100
483
50
53
50
) ÷ (1 +
31
100
×
53
50
) + (2( x +
1
10
)) ÷ (
13
10
×
4053
40000
) × (1 +
449
1000
( x +
1
10
))
     Multiply both sides of the equation by:(1 +
31
100
×
53
50
)
     
38899
10000
(1 +
31
100
×
53
50
) +
17465651
10000000
( x +
1
10
)(1 +
31
100
×
53
50
) =
108209
1000000
( x +
1
10
)(100
483
50
53
50
) + (2( x +
1
10
)) ÷ (
13
10
×
4053
40000
) × (1 +
449
1000
( x +
1
10
))(1 +
31
100
×
53
50
)
    Remove a bracket on the left of the equation:
     
38899
10000
× 1 +
38899
10000
×
31
100
×
53
50
+
17465651
10000000
( x +
1
10
)(1 +
31
100
×
53
50
) =
108209
1000000
( x +
1
10
)(100
483
50
53
50
) + (2( x +
1
10
)) ÷ (
13
10
×
4053
40000
) × (1 +
449
1000
( x +
1
10
))(1 +
31
100
×
53
50
)
    Remove a bracket on the right of the equation::
     
38899
10000
× 1 +
38899
10000
×
31
100
×
53
50
+
17465651
10000000
( x +
1
10
)(1 +
31
100
×
53
50
) =
108209
1000000
x (100
483
50
53
50
) +
108209
1000000
×
1
10
(100
483
50
53
50
) + (2( x +
1
10
)) ÷ (
13
10
×
4053
40000
) × (1 +
449
1000
( x +
1
10
))(1 +
31
100
×
53
50
)
    The equation is reduced to :
     
38899
10000
+
63911057
50000000
+
17465651
10000000
( x +
1
10
)(1 +
31
100
×
53
50
) =
108209
1000000
x (100
483
50
53
50
) +
108209
10000000
(100
483
50
53
50
) + (2( x +
1
10
)) ÷ (
13
10
×
4053
40000
) × (1 +
449
1000
( x +
1
10
))(1 +
31
100
×
53
50
)

    The solution of the equation:
        x1≈-2.327171 , keep 6 decimal places
        x2≈0.604064 , 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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