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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 x = 10+2*x/3-[(2.8*x*x+57.5*x+305.87)*(0.93*x*x*x+21.75*x*x+160.64*x+23.315)]/(35.3*x*x+9.4*x) .
    Question type: Equation
    Solution:Original question:
      x = 10 + 2 x ÷ 3((
14
5
x x +
115
2
x +
30587
100
)(
93
100
x x x +
87
4
x x +
4016
25
x +
4663
200
)) ÷ (
353
10
x x +
47
5
x )
     Multiply both sides of the equation by:(
353
10
x x +
47
5
x )
      x (
353
10
x x +
47
5
x ) = 10(
353
10
x x +
47
5
x ) + 2 x ÷ 3 × (
353
10
x x +
47
5
x )((
14
5
x x +
115
2
x +
30587
100
)(
93
100
x x x +
87
4
x x +
4016
25
x +
4663
200
))
    Remove a bracket on the left of the equation::
      x ×
353
10
x x + x ×
47
5
x = 10(
353
10
x x +
47
5
x ) + 2 x ÷ 3 × (
353
10
x x +
47
5
x )((
14
5
x x +
115
2
x +
30587
100
)(
93
100
x x x +
87
4
x x +
4016
25
x +
4663
200
))
    Remove a bracket on the right of the equation::
      x ×
353
10
x x + x ×
47
5
x = 10 ×
353
10
x x + 10 ×
47
5
x + 2 x ÷ 3 × (
353
10
x x +
47
5
x )((
14
5
x x +
115
2
x +
30587
100
)(
93
100
x x x +
87
4
x x +
4016
25
x +
4663
200
))
    The equation is reduced to :
      x ×
353
10
x x + x ×
47
5
x = 353 x x + 94 x +
2
3
x (
353
10
x x +
47
5
x )((
14
5
x x +
115
2
x +
30587
100
)(
93
100
x x x +
87
4
x x +
4016
25
x +
4663
200
))
    Remove a bracket on the right of the equation::
      x ×
353
10
x x + x ×
47
5
x = 353 x x + 94 x +
2
3
x ×
353
10
x x +
2
3
x
    The equation is reduced to :
      x ×
353
10
x x + x ×
47
5
x = 353 x x + 94 x +
353
15
x x x +
94
15
x x
    Remove a bracket on the right of the equation::
      x ×
353
10
x x + x ×
47
5
x = 353 x x + 94 x +
353
15
x x x +
94
15
x x
    Remove a bracket on the right of the equation::
      x ×
353
10
x x + x ×
47
5
x = 353 x x + 94 x +
353
15
x x x +
94
15
x x
    Remove a bracket on the right of the equation::
      x ×
353
10
x x + x ×
47
5
x = 353 x x + 94 x +
353
15
x x x +
94
15
x x
    The equation is reduced to :
      x ×
353
10
x x + x ×
47
5
x = 353 x x + 94 x +
353
15
x x x +
94
15
x x
    Remove a bracket on the right of the equation::
      x ×
353
10
x x + x ×
47
5
x = 353 x x + 94 x +
353
15
x x x +
94
15
x x
    The equation is reduced to :
      x ×
353
10
x x + x ×
47
5
x = 353 x x + 94 x +
353
15
x x x +
94
15
x x
    The equation is reduced to :
      x ×
353
10
x x + x ×
47
5
x = 353 x x
99729
80
x +
353
15
x x x +
94
15
x x
    Remove a bracket on the right of the equation::
      x ×
353
10
x x + x ×
47
5
x = 353 x x
99729
80
x +
353
15
x x x +
94
15
x x
    The equation is reduced to :
      x ×
353
10
x x + x ×
47
5
x = 353 x x
99729
80
x +
353
15
x x x +
94
15
x x
    The equation is reduced to :
      x ×
353
10
x x + x ×
47
5
x = 353 x x
503815693
10000
x +
353
15
x x x +
94
15
x x

    The solution of the equation:
        x1≈-0.266289 , keep 6 decimal places
        x2≈-0.148224 , 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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