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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 (6.023-1206.35/(x+220.24))*(112.877+1206.35/(x+220.24))/((1343.94/(x+219.58))-(1206.35/(x+220.24))-0.055) = 118.7811 .
    Question type: Equation
    Solution:Original question:
     (
6023
1000
24127
20
÷ ( x +
5506
25
))(
112877
1000
+
24127
20
÷ ( x +
5506
25
)) ÷ ((
67197
50
÷ ( x +
10979
50
))(
24127
20
÷ ( x +
5506
25
))
11
200
) =
1187811
10000
     Multiply both sides of the equation by:((
67197
50
÷ ( x +
10979
50
))(
24127
20
÷ ( x +
5506
25
))
11
200
)
     (
6023
1000
24127
20
÷ ( x +
5506
25
))(
112877
1000
+
24127
20
÷ ( x +
5506
25
)) =
1187811
10000
((
67197
50
÷ ( x +
10979
50
))(
24127
20
÷ ( x +
5506
25
))
11
200
)
    Remove a bracket on the left of the equation::
     
6023
1000
(
112877
1000
+
24127
20
÷ ( x +
5506
25
))
24127
20
÷ ( x +
5506
25
) × (
112877
1000
+
24127
20
÷ ( x +
5506
25
)) =
1187811
10000
((
67197
50
÷ ( x +
10979
50
))(
24127
20
÷ ( x +
5506
25
))
11
200
)
    Remove a bracket on the right of the equation::
     
6023
1000
(
112877
1000
+
24127
20
÷ ( x +
5506
25
))
24127
20
÷ ( x +
5506
25
) × (
112877
1000
+
24127
20
÷ ( x +
5506
25
)) =
1187811
10000
(
67197
50
÷ ( x +
10979
50
))
1187811
10000
(
24127
20
÷ ( x +
5506
25
))
1187811
10000
×
11
200
    The equation is reduced to :
     
6023
1000
(
112877
1000
+
24127
20
÷ ( x +
5506
25
))
24127
20
÷ ( x +
5506
25
) × (
112877
1000
+
24127
20
÷ ( x +
5506
25
)) =
1187811
10000
(
67197
50
÷ ( x +
10979
50
))
1187811
10000
(
24127
20
÷ ( x +
5506
25
))
13065921
2000000
     Multiply both sides of the equation by:( x +
5506
25
)
     
6023
1000
(
112877
1000
+
24127
20
÷ ( x +
5506
25
))( x +
5506
25
)
24127
20
(
112877
1000
+
24127
20
÷ ( x +
5506
25
)) =
1187811
10000
(
67197
50
÷ ( x +
10979
50
))( x +
5506
25
)
1187811
10000
(
24127
20
÷ ( x +
5506
25
))( x +
5506
25
)
13065921
2000000
( x +
5506
25
)
    Remove a bracket on the left of the equation:
     
6023
1000
×
112877
1000
( x +
5506
25
) +
6023
1000
×
24127
20
÷ ( x +
5506
25
) × ( x +
5506
25
)
24127
20
(
112877
1000
+
24127
20
÷ ( x +
5506
25
)) =
1187811
10000
(
67197
50
÷ ( x +
10979
50
))( x +
5506
25
)
1187811
10000
(
24127
20
÷ ( x +
5506
25
))( x +
5506
25
)
13065921
2000000
( x +
5506
25
)
    Remove a bracket on the right of the equation::
     
6023
1000
×
112877
1000
( x +
5506
25
) +
6023
1000
×
24127
20
÷ ( x +
5506
25
) × ( x +
5506
25
)
24127
20
(
112877
1000
+
24127
20
÷ ( x +
5506
25
)) =
1187811
10000
×
67197
50
÷ ( x +
10979
50
) × ( x +
5506
25
)
1187811
10000
(
24127
20
÷ ( x +
5506
25
))( x +
5506
25
)
13065921
2000000
( x +
5506
25
)

    
        x≈1.619216 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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