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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*(1-2.38)/(1+1.38x)+0.23*(1-0.96)/(1-0.04x)+0.3*(1-0.41)/(1-0.59x) = 0 .
    Question type: Equation
    Solution:Original question:
     
17
50
(1
119
50
) ÷ (1 +
69
50
x ) +
23
100
(1
24
25
) ÷ (1
1
25
x ) +
3
10
(1
41
100
) ÷ (1
59
100
x ) = 0
     Multiply both sides of the equation by:(1 +
69
50
x )
     
17
50
(1
119
50
) +
23
100
(1
24
25
) ÷ (1
1
25
x ) × (1 +
69
50
x ) +
3
10
(1
41
100
) ÷ (1
59
100
x ) × (1 +
69
50
x ) = 0
    Remove a bracket on the left of the equation::
     
17
50
× 1
17
50
×
119
50
+
23
100
(1
24
25
) ÷ (1
1
25
x ) × (1 +
69
50
x ) +
3
10
(1
41
100
) ÷ (1
59
100
x ) × (1 +
69
50
x ) = 0
    The equation is reduced to :
     
17
50
2023
2500
+
23
100
(1
24
25
) ÷ (1
1
25
x ) × (1 +
69
50
x ) +
3
10
(1
41
100
) ÷ (1
59
100
x ) × (1 +
69
50
x ) = 0
    The equation is reduced to :
      -
1173
2500
+
23
100
(1
24
25
) ÷ (1
1
25
x ) × (1 +
69
50
x ) +
3
10
(1
41
100
) ÷ (1
59
100
x ) × (1 +
69
50
x ) = 0
     Multiply both sides of the equation by:(1
1
25
x )
      -
1173
2500
(1
1
25
x ) +
23
100
(1
24
25
)(1 +
69
50
x ) +
3
10
(1
41
100
) ÷ (1
59
100
x ) × (1 +
69
50
x )(1
1
25
x ) = 0
    Remove a bracket on the left of the equation:
      -
1173
2500
× 1 +
1173
2500
×
1
25
x +
23
100
(1
24
25
)(1 +
69
50
x ) +
3
10
(1
41
100
) ÷ (1
59
100
x ) × (1 +
69
50
x ) = 0
    The equation is reduced to :
      -
1173
2500
+
1173
62500
x +
23
100
(1
24
25
)(1 +
69
50
x ) +
3
10
(1
41
100
) ÷ (1
59
100
x ) × (1 +
69
50
x )(1
1
25
x ) = 0
     Multiply both sides of the equation by:(1
59
100
x )
      -
1173
2500
(1
59
100
x ) +
1173
62500
x (1
59
100
x ) +
23
100
(1
24
25
)(1 +
69
50
x )(1
59
100
x ) +
3
10
(1
41
100
)(1 +
69
50
x ) = 0
    Remove a bracket on the left of the equation:
      -
1173
2500
× 1 +
1173
2500
×
59
100
x +
1173
62500
x (1
59
100
x ) +
23
100
(1
24
25
)(1 +
69
50
x )(1
59
100
x ) = 0
    The equation is reduced to :
      -
1173
2500
+
69207
250000
x +
1173
62500
x (1
59
100
x ) +
23
100
(1
24
25
)(1 +
69
50
x )(1
59
100
x ) +
3
10
(1
41
100
) = 0
    Remove a bracket on the left of the equation:
      -
1173
2500
+
69207
250000
x +
1173
62500
x × 1
1173
62500
x ×
59
100
x +
23
100
(1
24
25
) = 0
    The equation is reduced to :
      -
1173
2500
+
69207
250000
x +
1173
62500
x
69207
6250000
x x +
23
100
(1
24
25
)(1 +
69
50
x )(1
59
100
x ) = 0

    The solution of the equation:
        x1≈-0.724638 , keep 6 decimal places
        x2≈0.539290 , keep 6 decimal places
        x3≈1.694915 , keep 6 decimal places
        x4≈18.520530 , 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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