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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.
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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 0.1*(x+81)(x+81)+1+0.02*(x-9)(x+81)(x+81) = 0 .
    Question type: Equation
    Solution:Original question:
     
1
10
( x + 81)( x + 81) + 1 +
1
50
( x − 9)( x + 81)( x + 81) = 0
    Remove the bracket on the left of the equation:
     Left side of the equation =
1
10
 x ( x + 81) +
1
10
 × 81( x + 81) + 1 +
1
50
( x − 9)( x + 81)( x + 81)
                                             =
1
10
 x ( x + 81) +
81
10
( x + 81) + 1 +
1
50
( x − 9)( x + 81)( x + 81)
                                             =
1
10
 x x +
1
10
 x × 81 +
81
10
( x + 81) + 1 +
1
50
( x − 9)( x + 81)
                                             =
1
10
 x x +
81
10
 x +
81
10
( x + 81) + 1 +
1
50
( x − 9)( x + 81)( x + 81)
                                             =
1
10
 x x +
81
10
 x +
81
10
 x +
81
10
 × 81 + 1 +
1
50
( x − 9)
                                             =
1
10
 x x +
81
10
 x +
81
10
 x +
6561
10
 + 1 +
1
50
( x − 9)( x + 81)
                                             =
1
10
 x x +
81
5
 x +
6571
10
 +
1
50
( x − 9)( x + 81)( x + 81)
                                             =
1
10
 x x +
81
5
 x +
6571
10
 +
1
50
 x ( x + 81)( x + 81) −
1
50
 × 9
                                             =
1
10
 x x +
81
5
 x +
6571
10
 +
1
50
 x ( x + 81)( x + 81) −
9
50
( x + 81)
                                             =
1
10
 x x +
81
5
 x +
6571
10
 +
1
50
 x x ( x + 81) +
1
50
 x
                                             =
1
10
 x x +
81
5
 x +
6571
10
 +
1
50
 x x ( x + 81) +
81
50
 x
                                             =
1
10
 x x +
81
5
 x +
6571
10
 +
1
50
 x x x +
1
50
 x
                                             =
1
10
 x x +
81
5
 x +
6571
10
 +
1
50
 x x x +
81
50
 x
                                             =
1
10
 x x +
81
5
 x +
6571
10
 +
1
50
 x x x +
81
50
 x
                                             =
1
10
 x x +
81
5
 x +
6571
10
 +
1
50
 x x x +
81
50
 x
                                             =
1
10
 x x +
7371
50
 x +
6571
10
 +
1
50
 x x x +
81
50
 x
                                             =
1
10
 x x +
7371
50
 x +
6571
10
 +
1
50
 x x x +
81
50
 x
                                             =
1
10
 x x +
7371
50
 x +
6571
10
 +
1
50
 x x x +
81
50
 x
                                             =
1
10
 x x +
7371
50
 x +
6571
10
 +
1
50
 x x x +
81
50
 x
                                             =
1
10
 x x +
7371
50
 x +
6571
10
 +
1
50
 x x x +
81
50
 x
                                             =
1
10
 x x +
3321
25
 x +
6571
10
 +
1
50
 x x x +
81
50
 x
                                             =
1
10
 x x +
3321
25
 x +
6571
10
 +
1
50
 x x x +
81
50
 x
                                             =
1
10
 x x +
3321
25
 x +
6571
10
 +
1
50
 x x x +
81
50
 x
                                             =
1
10
 x x +
5913
50
 x −
13097
25
 +
1
50
 x x x +
81
50
 x
    The equation is transformed into :
     
1
10
 x x +
5913
50
 x −
13097
25
 +
1
50
 x x x +
81
50
 x = 0
    The equation can be reduced to :
     
1
10
 x x +
5913
50
 x −
13097
25
 +
1
50
 x x x +
81
50
 x = 0

    The solution of the equation:
        x1≈-81.763543 , keep 6 decimal places
        x2≈-80.229535 , keep 6 decimal places
        x3≈3.993078 , 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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