Mathematics
         
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Fractions calculation:
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    Current location:Mathematical operation > History of fraction calculation > Answer

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

[ 1/1 Equation]
    Work: Find the solution of equation 2.625*0.1726/(2.625-x)+0.3625*2.361/(2.361-x)+0.3025*1/(1-x)+0.5556*0.1625/(0.5556-x) = 0.2 .
    Question type: Equation
    Solution:Original question:
     
21
8
×
863
5000
÷ (
21
8
x ) +
29
80
×
2361
1000
÷ (
2361
1000
x ) +
121
400
× 1 ÷ (1 x ) +
1389
2500
×
13
80
÷ (
1389
2500
x ) =
1
5
     Multiply both sides of the equation by:(
21
8
x )
     
21
8
×
863
5000
+
29
80
×
2361
1000
÷ (
2361
1000
x ) × (
21
8
x ) +
121
400
× 1 ÷ (1 x ) × (
21
8
x ) +
1389
2500
×
13
80
=
1
5
(
21
8
x )
    Remove a bracket on the left of the equation::
     
21
8
×
863
5000
+
29
80
×
2361
1000
÷ (
2361
1000
x ) ×
21
8
29
80
×
2361
1000
÷ (
2361
1000
x ) × x +
121
400
× 1 =
1
5
(
21
8
x )
    Remove a bracket on the right of the equation::
     
21
8
×
863
5000
+
29
80
×
2361
1000
÷ (
2361
1000
x ) ×
21
8
29
80
×
2361
1000
÷ (
2361
1000
x ) × x +
121
400
× 1 =
1
5
×
21
8
1
5
x
    The equation is reduced to :
     
18123
40000
+
1437849
640000
÷ (
2361
1000
x )
68469
80000
÷ (
2361
1000
x ) × x +
121
400
÷ (1 x ) × (
21
8
x ) +
18057
200000
÷ (
1389
2500
x ) × (
21
8
x ) =
21
40
1
5
x
     Multiply both sides of the equation by:(
2361
1000
x )
     
18123
40000
(
2361
1000
x ) +
1437849
640000
68469
80000
x +
121
400
÷ (1 x ) × (
21
8
x )(
2361
1000
x ) +
18057
200000
÷ (
1389
2500
x ) × (
21
8
x ) =
21
40
(
2361
1000
x )
1
5
x (
2361
1000
x )
    Remove a bracket on the left of the equation:
     
18123
40000
×
2361
1000
18123
40000
x +
1437849
640000
68469
80000
x +
121
400
÷ (1 x ) × (
21
8
x )(
2361
1000
x ) +
18057
200000
=
21
40
(
2361
1000
x )
1
5
x (
2361
1000
x )
    Remove a bracket on the right of the equation::
     
18123
40000
×
2361
1000
18123
40000
x +
1437849
640000
68469
80000
x +
121
400
÷ (1 x ) × (
21
8
x )(
2361
1000
x ) +
18057
200000
=
21
40
×
2361
1000
21
40
x
1
5
x (
2361
1000
x )
    The equation is reduced to :
     
42788403
40000000
18123
40000
x +
1437849
640000
68469
80000
x +
121
400
÷ (1 x ) × (
21
8
x )(
2361
1000
x ) +
18057
200000
÷ (
1389
2500
x ) =
49581
40000
21
40
x
1
5
x (
2361
1000
x )

    The solution of the equation:
        x1≈-6.473280 , keep 6 decimal places
        x2≈0.623830 , keep 6 decimal places
        x3≈1.343641 , keep 6 decimal places
        x4≈2.538796 , keep 6 decimal places
    
    There are 4 solution(s).


解程的详细方法请参阅:《方程的解法》



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