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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 0.4374497/(5.99-x)+1.037088/(2.34-x)+0.4463/(1-x)+0.0160648/(0.43-x) = 0.1 .
    Question type: Equation
    Solution:Original question:
     
4374497
10000000
÷ (
599
100
x ) +
32409
31250
÷ (
117
50
x ) +
4463
10000
÷ (1 x ) +
20081
1250000
÷ (
43
100
x ) =
1
10
     Multiply both sides of the equation by:(
599
100
x )
     
4374497
10000000
+
32409
31250
÷ (
117
50
x ) × (
599
100
x ) +
4463
10000
÷ (1 x ) × (
599
100
x ) +
20081
1250000
÷ (
43
100
x ) × (
599
100
x ) =
1
10
(
599
100
x )
    Remove a bracket on the left of the equation::
     
4374497
10000000
+
32409
31250
÷ (
117
50
x ) ×
599
100
32409
31250
÷ (
117
50
x ) × x +
4463
10000
÷ (1 x ) × (
599
100
x ) +
20081
1250000
÷ (
43
100
x ) =
1
10
(
599
100
x )
    Remove a bracket on the right of the equation::
     
4374497
10000000
+
32409
31250
÷ (
117
50
x ) ×
599
100
32409
31250
÷ (
117
50
x ) × x +
4463
10000
÷ (1 x ) × (
599
100
x ) +
20081
1250000
÷ (
43
100
x ) =
1
10
×
599
100
1
10
x
    The equation is reduced to :
     
4374497
10000000
+
19412991
3125000
÷ (
117
50
x )
32409
31250
÷ (
117
50
x ) × x +
4463
10000
÷ (1 x ) × (
599
100
x ) +
20081
1250000
÷ (
43
100
x ) × (
599
100
x ) =
599
1000
1
10
x
     Multiply both sides of the equation by:(
117
50
x )
     
4374497
10000000
(
117
50
x ) +
19412991
3125000
32409
31250
x +
4463
10000
÷ (1 x ) × (
599
100
x )(
117
50
x ) +
20081
1250000
÷ (
43
100
x ) × (
599
100
x ) =
599
1000
(
117
50
x )
1
10
x (
117
50
x )
    Remove a bracket on the left of the equation:
     
4374497
10000000
×
117
50
4374497
10000000
x +
19412991
3125000
32409
31250
x +
4463
10000
÷ (1 x ) × (
599
100
x )(
117
50
x ) +
20081
1250000
=
599
1000
(
117
50
x )
1
10
x (
117
50
x )
    Remove a bracket on the right of the equation::
     
4374497
10000000
×
117
50
4374497
10000000
x +
19412991
3125000
32409
31250
x +
4463
10000
÷ (1 x ) × (
599
100
x )(
117
50
x ) +
20081
1250000
=
599
1000
×
117
50
599
1000
x
1
10
x (
117
50
x )
    The equation is reduced to :
     
511816149
500000000
4374497
10000000
x +
19412991
3125000
32409
31250
x +
4463
10000
÷ (1 x ) × (
599
100
x )(
117
50
x ) +
20081
1250000
÷ (
43
100
x ) =
70083
50000
599
1000
x
1
10
x (
117
50
x )

    The solution of the equation:
        x1≈-16.680908 , keep 6 decimal places
        x2≈1.408530 , keep 6 decimal places
        x3≈5.221231 , 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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