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On line Solution of Monovariate Equation:
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    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 0.34*(1-2.46)/(1+1.46x)+0.23*(1-0.97)/(1-0.03x)+0.3*(1-0.41)/(1-0.59x) = 0 .
    Question type: Equation
    Solution:Original question:
     
17
50
(1
123
50
) ÷ (1 +
73
50
x ) +
23
100
(1
97
100
) ÷ (1
3
100
x ) +
3
10
(1
41
100
) ÷ (1
59
100
x ) = 0
     Multiply both sides of the equation by:(1 +
73
50
x )
     
17
50
(1
123
50
) +
23
100
(1
97
100
) ÷ (1
3
100
x ) × (1 +
73
50
x ) +
3
10
(1
41
100
) ÷ (1
59
100
x ) × (1 +
73
50
x ) = 0
    Remove a bracket on the left of the equation::
     
17
50
× 1
17
50
×
123
50
+
23
100
(1
97
100
) ÷ (1
3
100
x ) × (1 +
73
50
x ) +
3
10
(1
41
100
) ÷ (1
59
100
x ) × (1 +
73
50
x ) = 0
    The equation is reduced to :
     
17
50
2091
2500
+
23
100
(1
97
100
) ÷ (1
3
100
x ) × (1 +
73
50
x ) +
3
10
(1
41
100
) ÷ (1
59
100
x ) × (1 +
73
50
x ) = 0
    The equation is reduced to :
      -
1241
2500
+
23
100
(1
97
100
) ÷ (1
3
100
x ) × (1 +
73
50
x ) +
3
10
(1
41
100
) ÷ (1
59
100
x ) × (1 +
73
50
x ) = 0
     Multiply both sides of the equation by:(1
3
100
x )
      -
1241
2500
(1
3
100
x ) +
23
100
(1
97
100
)(1 +
73
50
x ) +
3
10
(1
41
100
) ÷ (1
59
100
x ) × (1 +
73
50
x )(1
3
100
x ) = 0
    Remove a bracket on the left of the equation:
      -
1241
2500
× 1 +
1241
2500
×
3
100
x +
23
100
(1
97
100
)(1 +
73
50
x ) +
3
10
(1
41
100
) ÷ (1
59
100
x ) × (1 +
73
50
x ) = 0
    The equation is reduced to :
      -
1241
2500
+
3723
250000
x +
23
100
(1
97
100
)(1 +
73
50
x ) +
3
10
(1
41
100
) ÷ (1
59
100
x ) × (1 +
73
50
x )(1
3
100
x ) = 0
     Multiply both sides of the equation by:(1
59
100
x )
      -
1241
2500
(1
59
100
x ) +
3723
250000
x (1
59
100
x ) +
23
100
(1
97
100
)(1 +
73
50
x )(1
59
100
x ) +
3
10
(1
41
100
)(1 +
73
50
x ) = 0
    Remove a bracket on the left of the equation:
      -
1241
2500
× 1 +
1241
2500
×
59
100
x +
3723
250000
x (1
59
100
x ) +
23
100
(1
97
100
)(1 +
73
50
x )(1
59
100
x ) = 0
    The equation is reduced to :
      -
1241
2500
+
73219
250000
x +
3723
250000
x (1
59
100
x ) +
23
100
(1
97
100
)(1 +
73
50
x )(1
59
100
x ) +
3
10
(1
41
100
) = 0
    Remove a bracket on the left of the equation:
      -
1241
2500
+
73219
250000
x +
3723
250000
x × 1
3723
250000
x ×
59
100
x +
23
100
(1
97
100
) = 0
    The equation is reduced to :
      -
1241
2500
+
73219
250000
x +
3723
250000
x
219657
25000000
x x +
23
100
(1
97
100
)(1 +
73
50
x )(1
59
100
x ) = 0
    The equation is reduced to :
      -
1241
2500
+
38471
125000
x
219657
25000000
x x +
23
100
(1
97
100
)(1 +
73
50
x )(1
59
100
x ) +
3
10
(1
41
100
) = 0
    Remove a bracket on the left of the equation:
      -
1241
2500
+
38471
125000
x
219657
25000000
x x +
23
100
× 1(1 +
73
50
x )(1
59
100
x )
23
100
×
97
100
= 0
    The equation is reduced to :
      -
1241
2500
+
38471
125000
x
219657
25000000
x x +
23
100
(1 +
73
50
x )(1
59
100
x )
2231
10000
(1 +
73
50
x )(1
59
100
x ) = 0
    Remove a bracket on the left of the equation:
      -
1241
2500
+
38471
125000
x
219657
25000000
x x +
23
100
× 1(1
59
100
x ) +
23
100
×
73
50
x = 0
    The equation is reduced to :
      -
1241
2500
+
38471
125000
x
219657
25000000
x x +
23
100
(1
59
100
x ) +
1679
5000
x (1
59
100
x )
2231
10000
= 0
    Remove a bracket on the left of the equation:
      -
1241
2500
+
38471
125000
x
219657
25000000
x x +
23
100
× 1
23
100
×
59
100
x +
1679
5000
= 0
    The equation is reduced to :
      -
1241
2500
+
38471
125000
x
219657
25000000
x x +
23
100
1357
10000
x +
1679
5000
x (1
59
100
x ) = 0
    The equation is reduced to :
      -
333
1250
+
43017
250000
x
219657
25000000
x x +
1679
5000
x (1
59
100
x )
2231
10000
(1 +
73
50
x )(1
59
100
x ) = 0
    Remove a bracket on the left of the equation:
      -
333
1250
+
43017
250000
x
219657
25000000
x x +
1679
5000
x × 1
1679
5000
x ×
59
100
= 0
    The equation is reduced to :
      -
333
1250
+
43017
250000
x
219657
25000000
x x +
1679
5000
x
99061
500000
x x
2231
10000
= 0

    The solution of the equation:
        x1≈-0.684932 , keep 6 decimal places
        x2≈0.563872 , keep 6 decimal places
        x3≈1.694915 , keep 6 decimal places
        x4≈24.650405 , 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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