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 1.444/(5.9375-x)+0.4774/(3.1042-x)+0.3150/(1.2292-x)+0.3468/(1-x) = 0.15 .
    Question type: Equation
    Solution:Original question:
     
361
250
÷ (
95
16
x ) +
2387
5000
÷ (
15521
5000
x ) +
63
200
÷ (
3073
2500
x ) +
867
2500
÷ (1 x ) =
3
20
     Multiply both sides of the equation by:(
95
16
x )
     
361
250
+
2387
5000
÷ (
15521
5000
x ) × (
95
16
x ) +
63
200
÷ (
3073
2500
x ) × (
95
16
x ) +
867
2500
÷ (1 x ) × (
95
16
x ) =
3
20
(
95
16
x )
    Remove a bracket on the left of the equation::
     
361
250
+
2387
5000
÷ (
15521
5000
x ) ×
95
16
2387
5000
÷ (
15521
5000
x ) × x +
63
200
÷ (
3073
2500
x ) × (
95
16
x ) +
867
2500
÷ (1 x ) =
3
20
(
95
16
x )
    Remove a bracket on the right of the equation::
     
361
250
+
2387
5000
÷ (
15521
5000
x ) ×
95
16
2387
5000
÷ (
15521
5000
x ) × x +
63
200
÷ (
3073
2500
x ) × (
95
16
x ) +
867
2500
÷ (1 x ) =
3
20
×
95
16
3
20
x
    The equation is reduced to :
     
361
250
+
45353
16000
÷ (
15521
5000
x )
2387
5000
÷ (
15521
5000
x ) × x +
63
200
÷ (
3073
2500
x ) × (
95
16
x ) +
867
2500
÷ (1 x ) × (
95
16
x ) =
57
64
3
20
x
     Multiply both sides of the equation by:(
15521
5000
x )
     
361
250
(
15521
5000
x ) +
45353
16000
2387
5000
x +
63
200
÷ (
3073
2500
x ) × (
95
16
x )(
15521
5000
x ) +
867
2500
÷ (1 x ) × (
95
16
x ) =
57
64
(
15521
5000
x )
3
20
x (
15521
5000
x )
    Remove a bracket on the left of the equation:
     
361
250
×
15521
5000
361
250
x +
45353
16000
2387
5000
x +
63
200
÷ (
3073
2500
x ) × (
95
16
x )(
15521
5000
x ) +
867
2500
=
57
64
(
15521
5000
x )
3
20
x (
15521
5000
x )
    Remove a bracket on the right of the equation::
     
361
250
×
15521
5000
361
250
x +
45353
16000
2387
5000
x +
63
200
÷ (
3073
2500
x ) × (
95
16
x )(
15521
5000
x ) +
867
2500
=
57
64
×
15521
5000
57
64
x
3
20
x (
15521
5000
x )
    The equation is reduced to :
     
5603081
1250000
361
250
x +
45353
16000
2387
5000
x +
63
200
÷ (
3073
2500
x ) × (
95
16
x )(
15521
5000
x ) +
867
2500
÷ (1 x ) =
884697
320000
57
64
x
3
20
x (
15521
5000
x )

    The solution of the equation:
        x1≈-13.310866 , keep 6 decimal places
        x2≈1.112391 , keep 6 decimal places
        x3≈2.080697 , keep 6 decimal places
        x4≈4.167345 , 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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