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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 x+x*(x-0.2)*(-0.05)+x*(x-0.2)*(x-0.4)*(x-0.6)*(-5/48)+x*(x-0.2)*(x-0.4)*(x-0.6)*(x-0.8)*(-5/96) = 0.45 .
    Question type: Equation
    Solution:Original question:
      x + x ( x −
1
5
)( -
1
20
) + x ( x −
1
5
)( x −
2
5
)( x −
3
5
)( - 5 ÷ 48) + x ( x −
1
5
)( x −
2
5
) =
9
20
    Remove the bracket on the left of the equation:
     Left side of the equation = x + x x ( -
1
20
) − x ×
1
5
( -
1
20
) + x ( x −
1
5
)( x −
2
5
)( x −
3
5
)( - 5 ÷ 48)
                                             = x − x x ×
1
20
 − x ×
1
5
( -
1
20
) + x ( x −
1
5
)( x −
2
5
)( x −
3
5
)( - 5 ÷ 48)
                                             = x − x x ×
1
20
 + x ×
1
5
 ×
1
20
 + x ( x −
1
5
)( x −
2
5
)( x −
3
5
)( - 5 ÷ 48)
                                             = x − x x ×
1
20
 + x ×
1
100
 + x ( x −
1
5
)( x −
2
5
)( x −
3
5
)( - 5 ÷ 48) + x
                                             =
101
100
 x − x x ×
1
20
 + x ( x −
1
5
)( x −
2
5
)( x −
3
5
)( - 5 ÷ 48) + x ( x −
1
5
)
                                             =
101
100
 x − x x ×
1
20
 + x x ( x −
2
5
)( x −
3
5
)( - 5 ÷ 48) − x ×
1
5
                                             =
101
100
 x − x x ×
1
20
 + x x x ( x −
3
5
)( - 5 ÷ 48) − x x
                                             =
101
100
 x − x x ×
1
20
 + x x x x ( - 5 ÷ 48) − x x
                                             =
101
100
 x − x x ×
1
20
 − x x x x × 5 ÷ 48 − x
                                             =
101
100
 x − x x ×
1
20
 − x x x x ×
5
48
 − x x
                                             =
101
100
 x − x x ×
1
20
 − x x x x ×
5
48
 + x x
                                             =
101
100
 x − x x ×
1
20
 − x x x x ×
5
48
 + x x
                                             =
101
100
 x − x x ×
1
20
 − x x x x ×
5
48
 + x x
                                             =
101
100
 x − x x ×
1
20
 − x x x x ×
5
48
 + x x
                                             =
101
100
 x − x x ×
1
20
 − x x x x ×
5
48
 + x x
                                             =
101
100
 x − x x ×
1
20
 − x x x x ×
5
48
 + x x
                                             =
101
100
 x − x x ×
1
20
 − x x x x ×
5
48
 + x x
                                             =
101
100
 x − x x ×
1
20
 − x x x x ×
5
48
 + x x
                                             =
101
100
 x − x x ×
1
20
 − x x x x ×
5
48
 + x x
                                             =
101
100
 x − x x ×
1
20
 − x x x x ×
5
48
 + x x
                                             =
101
100
 x − x x ×
1
20
 − x x x x ×
5
48
 + x x
                                             =
101
100
 x − x x ×
1
20
 − x x x x ×
5
48
 + x x
                                             =
101
100
 x − x x ×
1
20
 − x x x x ×
5
48
 + x x
                                             =
101
100
 x − x x ×
1
20
 − x x x x ×
5
48
 + x x
                                             =
101
100
 x − x x ×
1
20
 − x x x x ×
5
48
 + x x

    The solution of the equation:
        x1≈-2.381745 , keep 6 decimal places
        x2≈0.455747 , keep 6 decimal places
        x3≈2.009077 , 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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