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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 [20x(1+2%)x(1+8%)x(1+10%)+2]x13% = 0 .
    Question type: Equation
    Solution:Original question:
     (20 x (1 +
2
100
) x (1 +
8
100
) x (1 +
10
100
) + 2) x ×
13
100
= 0
    Remove the bracket on the left of the equation:
     Left side of the equation = 20 x (1 +
2
100
) x (1 +
8
100
) x (1 +
10
100
) x ×
13
100
+ 2 x ×
13
100
                                             =
13
5
x (1 +
2
100
) x (1 +
8
100
) x (1 +
10
100
) x +
13
50
x
                                             =
13
5
x × 1 x (1 +
8
100
) x (1 +
10
100
) x +
13
5
x ×
2
100
x
                                             =
13
5
x x (1 +
8
100
) x (1 +
10
100
) x +
13
250
x x (1 +
8
100
) x
                                             =
13
5
x x × 1 x (1 +
10
100
) x +
13
5
x x ×
8
100
x
                                             =
13
5
x x x (1 +
10
100
) x +
26
125
x x x (1 +
10
100
) x
                                             =
13
5
x x x × 1 x +
13
5
x x x ×
10
100
x
                                             =
13
5
x x x x +
13
50
x x x x +
26
125
x
                                             =
13
5
x x x x +
13
50
x x x x +
26
125
x
                                             =
13
5
x x x x +
13
50
x x x x +
26
125
x
                                             =
13
5
x x x x +
13
50
x x x x +
26
125
x
                                             =
13
5
x x x x +
13
50
x x x x +
26
125
x
                                             =
13
5
x x x x +
13
50
x x x x +
26
125
x
                                             =
13
5
x x x x +
13
50
x x x x +
26
125
x
                                             =
13
5
x x x x +
13
50
x x x x +
26
125
x
                                             =
13
5
x x x x +
13
50
x x x x +
26
125
x
    The equation is transformed into :
     
13
5
x x x x +
13
50
x x x x +
26
125
x = 0

    After the equation is converted into a general formula, there is a common factor:
    ( x +0 )
    From
        x + 0 = 0

    it is concluded that::
        x1=0

    Solutions that cannot be obtained by factorization:
        x2≈-0.435373 , 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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