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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 8.442+52.03x = 93.62+1157x*(1-x)/(1-0.45x)+0.484x+(0.2475xx)/(1-0.45x)*4.18/32 .
    Question type: Equation
    Solution:Original question:
     
4221
500
+
5203
100
x =
4681
50
+ 1157 x (1 x ) ÷ (1
9
20
x ) +
121
250
x + (
99
400
x x ) ÷ (1
9
20
x ) ×
209
50
÷ 32
     Multiply both sides of the equation by:(1
9
20
x )
     
4221
500
(1
9
20
x ) +
5203
100
x (1
9
20
x ) =
4681
50
(1
9
20
x ) + 1157 x (1 x ) +
121
250
x (1
9
20
x ) + (
99
400
x x ) ×
209
50
÷ 32
    Remove a bracket on the left of the equation::
     
4221
500
× 1
4221
500
×
9
20
x +
5203
100
x (1
9
20
x ) =
4681
50
(1
9
20
x ) + 1157 x (1 x ) +
121
250
x (1
9
20
x ) + (
99
400
x x ) ×
209
50
÷ 32
    Remove a bracket on the right of the equation::
     
4221
500
× 1
4221
500
×
9
20
x +
5203
100
x (1
9
20
x ) =
4681
50
× 1
4681
50
×
9
20
x + 1157 x (1 x ) +
121
250
x (1
9
20
x ) + (
99
400
x x )
    The equation is reduced to :
     
4221
500
37989
10000
x +
5203
100
x (1
9
20
x ) =
4681
50
42129
1000
x + 1157 x (1 x ) +
121
250
x (1
9
20
x ) + (
99
400
x x ) ×
209
1600
    Remove a bracket on the left of the equation:
     
4221
500
37989
10000
x +
5203
100
x × 1
5203
100
x ×
9
20
x =
4681
50
42129
1000
x + 1157 x (1 x ) +
121
250
x (1
9
20
x ) + (
99
400
x x ) ×
209
1600
    Remove a bracket on the right of the equation::
     
4221
500
37989
10000
x +
5203
100
x × 1
5203
100
x ×
9
20
x =
4681
50
42129
1000
x + 1157 x × 11157 x x +
121
250
x (1
9
20
x )
    The equation is reduced to :
     
4221
500
37989
10000
x +
5203
100
x
46827
2000
x x =
4681
50
42129
1000
x + 1157 x 1157 x x +
121
250
x (1
9
20
x ) + (
99
400
x x )
    The equation is reduced to :
     
4221
500
+
482311
10000
x
46827
2000
x x =
4681
50
+
1114871
1000
x 1157 x x +
121
250
x (1
9
20
x ) + (
99
400
x x ) ×
209
1600
    Remove a bracket on the right of the equation::
     
4221
500
+
482311
10000
x
46827
2000
x x =
4681
50
+
1114871
1000
x 1157 x x +
121
250
x × 1
121
250
x ×
9
20
    The equation is reduced to :
     
4221
500
+
482311
10000
x
46827
2000
x x =
4681
50
+
1114871
1000
x 1157 x x +
121
250
x
1089
5000
x x + (
99
400
x x )
    The equation is reduced to :
     
4221
500
+
482311
10000
x
46827
2000
x x =
4681
50
+
223071
200
x 1157 x x
1089
5000
x x + (
99
400
x x ) ×
209
1600
    Remove a bracket on the right of the equation::
     
4221
500
+
482311
10000
x
46827
2000
x x =
4681
50
+
223071
200
x 1157 x x
1089
5000
x x +
99
400
x x
    The equation is reduced to :
     
4221
500
+
482311
10000
x
46827
2000
x x =
4681
50
+
223071
200
x 1157 x x
1089
5000
x x +
20691
640000
x x

    The solution of the equation:
        x1≈-0.074002 , keep 6 decimal places
        x2≈1.015217 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《方程的解法》



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