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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 0.703/(5-x)+1.75/0.66*0.2133/(1.75/0.66-x)+1.25/0.66*0.2666/(1.25/0.66-x)+0.55/0.66*0.1117/(0.55/0.66-x)+0.255/0.66*0.0359/(0.255/0.66-x) = 0 .
    Question type: Equation
    Solution:Original question:
     
703
1000
÷ (5 x ) +
7
4
÷
33
50
×
2133
10000
÷ (
7
4
÷
33
50
x ) +
5
4
÷
33
50
×
1333
5000
÷ (
5
4
÷
33
50
x ) +
11
20
÷
33
50
= 0
     Multiply both sides of the equation by:(5 x )
     
703
1000
+
7
4
÷
33
50
×
2133
10000
÷ (
7
4
÷
33
50
x ) × (5 x ) +
5
4
÷
33
50
×
1333
5000
÷ (
5
4
÷
33
50
x ) × (5 x ) +
11
20
= 0
    Remove a bracket on the left of the equation::
     
703
1000
+
7
4
÷
33
50
×
2133
10000
÷ (
7
4
÷
33
50
x ) × 5
7
4
÷
33
50
×
2133
10000
÷ (
7
4
÷
33
50
x ) × x +
5
4
= 0
    The equation is reduced to :
     
703
1000
+
4977
1760
÷ (
7
4
÷
33
50
x )
4977
8800
÷ (
7
4
÷
33
50
x ) × x +
1333
2640
÷ (
5
4
÷
33
50
x ) × (5 x ) +
1117
12000
÷ (
11
20
÷
33
50
x ) × (5 x ) = 0
     Multiply both sides of the equation by:(
7
4
÷
33
50
x )
     
703
1000
(
7
4
÷
33
50
x ) +
4977
1760
4977
8800
x +
1333
2640
÷ (
5
4
÷
33
50
x ) × (5 x )(
7
4
÷
33
50
x ) +
1117
12000
÷ (
11
20
÷
33
50
x ) × (5 x ) = 0
    Remove a bracket on the left of the equation:
     
703
1000
×
7
4
÷
33
50
703
1000
x +
4977
1760
4977
8800
x +
1333
2640
÷ (
5
4
÷
33
50
x ) × (5 x )(
7
4
÷
33
50
x ) = 0
    The equation is reduced to :
     
4921
2640
703
1000
x +
4977
1760
4977
8800
x +
1333
2640
÷ (
5
4
÷
33
50
x ) × (5 x )(
7
4
÷
33
50
x ) +
1117
12000
÷ (
11
20
÷
33
50
x ) = 0
    The equation is reduced to :
     
24773
5280
55817
44000
x +
1333
2640
÷ (
5
4
÷
33
50
x ) × (5 x )(
7
4
÷
33
50
x ) +
1117
12000
÷ (
11
20
÷
33
50
x ) × (5 x )(
7
4
÷
33
50
x ) +
6103
440000
= 0
     Multiply both sides of the equation by:(
5
4
÷
33
50
x )
     
24773
5280
(
5
4
÷
33
50
x )
55817
44000
x (
5
4
÷
33
50
x ) +
1333
2640
(5 x )(
7
4
÷
33
50
x ) +
1117
12000
÷ (
11
20
÷
33
50
x ) × (5 x )(
7
4
÷
33
50
x ) = 0
    Remove a bracket on the left of the equation:
     
24773
5280
×
5
4
÷
33
50
24773
5280
x
55817
44000
x (
5
4
÷
33
50
x ) +
1333
2640
(5 x )(
7
4
÷
33
50
x ) +
1117
12000
= 0
    The equation is reduced to :
     
619325
69696
24773
5280
x
55817
44000
x (
5
4
÷
33
50
x ) +
1333
2640
(5 x )(
7
4
÷
33
50
x ) +
1117
12000
÷ (
11
20
÷
33
50
x ) × (5 x ) = 0
     Multiply both sides of the equation by:(
11
20
÷
33
50
x )
     
619325
69696
(
11
20
÷
33
50
x )
24773
5280
x (
11
20
÷
33
50
x )
55817
44000
x (
5
4
÷
33
50
x )(
11
20
÷
33
50
x ) +
1333
2640
(5 x )(
7
4
÷
33
50
x ) = 0
    Remove a bracket on the left of the equation:
     
619325
69696
×
11
20
÷
33
50
619325
69696
x
24773
5280
x (
11
20
÷
33
50
x )
55817
44000
x (
5
4
÷
33
50
x )(
11
20
÷
33
50
x ) = 0
    The equation is reduced to :
     
3096625
418176
619325
69696
x
24773
5280
x (
11
20
÷
33
50
x )
55817
44000
x (
5
4
÷
33
50
x )(
11
20
÷
33
50
x ) +
1333
2640
(5 x ) = 0
     Multiply both sides of the equation by:(
51
200
÷
33
50
x )
     
3096625
418176
(
51
200
÷
33
50
x )
619325
69696
x (
51
200
÷
33
50
x )
24773
5280
x (
11
20
÷
33
50
x )(
51
200
÷
33
50
x )
55817
44000
x (
5
4
÷
33
50
x ) = 0
    Remove a bracket on the left of the equation:
     
3096625
418176
×
51
200
÷
33
50
3096625
418176
x
619325
69696
x (
51
200
÷
33
50
x )
24773
5280
x (
11
20
÷
33
50
x )(
51
200
÷
33
50
x ) = 0
    The equation is reduced to :
     
52642625
18399744
3096625
418176
x
619325
69696
x (
51
200
÷
33
50
x )
24773
5280
x (
11
20
÷
33
50
x )(
51
200
÷
33
50
x )
55817
44000
x = 0
    Remove a bracket on the left of the equation:
     
52642625
18399744
3096625
418176
x
619325
69696
x ×
51
200
÷
33
50
+
619325
69696
x x
24773
5280
x = 0
    The equation is reduced to :
     
52642625
18399744
3096625
418176
x
10528525
3066624
x +
619325
69696
x x
24773
5280
x (
11
20
÷
33
50
x )(
51
200
÷
33
50
x ) = 0

    The solution of the equation:
        x1≈0.926711 , keep 6 decimal places
        x2≈2.227582 , keep 6 decimal places
        x3≈3.990648 , keep 6 decimal places
    
    There are 3 solution(s).


解程的详细方法请参阅:《方程的解法》



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