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    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 4.8082 = (30.56*0.847*(x+0.1))/(1+0.847(x+0.1))*(100-1.4-8.28)/100*1/(1+0.31*1.4)+(2.26(x+0.1))/(1.3*0.101325) .
    Question type: Equation
    Solution:Original question:
     
24041
5000
= (
764
25
×
847
1000
( x +
1
10
)) ÷ (1 +
847
1000
( x +
1
10
)) × (100
7
5
207
25
) ÷ 100 × 1 ÷ (1 +
31
100
×
7
5
) + (
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)
     Multiply both sides of the equation by:(1 +
847
1000
( x +
1
10
))
     
24041
5000
(1 +
847
1000
( x +
1
10
)) = (
764
25
×
847
1000
( x +
1
10
))(100
7
5
207
25
) ÷ 100 × 1 ÷ (1 +
31
100
×
7
5
) + (
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
) × (1 +
847
1000
( x +
1
10
))
    Remove a bracket on the left of the equation::
     
24041
5000
× 1 +
24041
5000
×
847
1000
( x +
1
10
) = (
764
25
×
847
1000
( x +
1
10
))(100
7
5
207
25
) ÷ 100 × 1 ÷ (1 +
31
100
×
7
5
) + (
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
) × (1 +
847
1000
( x +
1
10
))
    Remove a bracket on the right of the equation::
     
24041
5000
× 1 +
24041
5000
×
847
1000
( x +
1
10
) =
764
25
×
847
1000
( x +
1
10
)(100
7
5
207
25
) ÷ 100 × 1 ÷ (1 +
31
100
×
7
5
) + (
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
) × (1 +
847
1000
( x +
1
10
))
    The equation is reduced to :
     
24041
5000
+
20362727
5000000
( x +
1
10
) =
161777
625000
( x +
1
10
)(100
7
5
207
25
) ÷ (1 +
31
100
×
7
5
) + (
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
) × (1 +
847
1000
( x +
1
10
))
     Multiply both sides of the equation by:(1 +
31
100
×
7
5
)
     
24041
5000
(1 +
31
100
×
7
5
) +
20362727
5000000
( x +
1
10
)(1 +
31
100
×
7
5
) =
161777
625000
( x +
1
10
)(100
7
5
207
25
) + (
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
) × (1 +
847
1000
( x +
1
10
))(1 +
31
100
×
7
5
)
    Remove a bracket on the left of the equation:
     
24041
5000
× 1 +
24041
5000
×
31
100
×
7
5
+
20362727
5000000
( x +
1
10
)(1 +
31
100
×
7
5
) =
161777
625000
( x +
1
10
)(100
7
5
207
25
) + (
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
) × (1 +
847
1000
( x +
1
10
))(1 +
31
100
×
7
5
)
    Remove a bracket on the right of the equation::
     
24041
5000
× 1 +
24041
5000
×
31
100
×
7
5
+
20362727
5000000
( x +
1
10
)(1 +
31
100
×
7
5
) =
161777
625000
x (100
7
5
207
25
) +
161777
625000
×
1
10
(100
7
5
207
25
) + (
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
) × (1 +
847
1000
( x +
1
10
))(1 +
31
100
×
7
5
)
    The equation is reduced to :
     
24041
5000
+
5216897
2500000
+
20362727
5000000
( x +
1
10
)(1 +
31
100
×
7
5
) =
161777
625000
x (100
7
5
207
25
) +
161777
6250000
(100
7
5
207
25
) + (
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
) × (1 +
847
1000
( x +
1
10
))(1 +
31
100
×
7
5
)

    The solution of the equation:
        x1≈-1.280638 , keep 6 decimal places
        x2≈0.293129 , 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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