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    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(1+x)(1+0.01x)(1+0.005929x) = 64(1+0.345744x) .
    Question type: Equation
    Solution:Original question:
      x (1 + x )(1 +
1
100
x )(1 +
5929
1000000
x ) = 64(1 +
21609
62500
x )
    Remove the bracket on the left of the equation:
     Left side of the equation = x × 1(1 +
1
100
x )(1 +
5929
1000000
x ) + x x (1 +
1
100
x )(1 +
5929
1000000
x )
                                             = x × 1 × 1(1 +
5929
1000000
x ) + x × 1 ×
1
100
x (1 +
5929
1000000
x ) + x x (1 +
1
100
x )
                                             = x × 1(1 +
5929
1000000
x ) + x ×
1
100
x (1 +
5929
1000000
x ) + x x (1 +
1
100
x )(1 +
5929
1000000
x )
                                             = x × 1 × 1 + x × 1 ×
5929
1000000
x + x ×
1
100
x (1 +
5929
1000000
x ) + x
                                             = x × 1 + x ×
5929
1000000
x + x ×
1
100
x (1 +
5929
1000000
x ) + x x (1 +
1
100
x )
                                             = 1 x + x ×
5929
1000000
x + x ×
1
100
x × 1 + x ×
1
100
x
                                             = 1 x + x ×
5929
1000000
x + x ×
1
100
x + x ×
5929
100000000
x x
                                             = 1 x + x ×
5929
1000000
x + x ×
1
100
x + x ×
5929
100000000
x x
                                             = 1 x + x ×
5929
1000000
x + x ×
1
100
x + x ×
5929
100000000
x x
                                             = 1 x + x ×
5929
1000000
x + x ×
1
100
x + x ×
5929
100000000
x x
                                             = 1 x + x ×
5929
1000000
x + x ×
1
100
x + x ×
5929
100000000
x x
                                             = 1 x + x ×
5929
1000000
x + x ×
1
100
x + x ×
5929
100000000
x x
    The equation is transformed into :
     1 x + x ×
5929
1000000
x + x ×
1
100
x + x ×
5929
100000000
x x = 64(1 +
21609
62500
x )
    Remove the bracket on the right of the equation:
     Right side of the equation = 64 × 1 + 64 ×
21609
62500
x
                                               = 64 +
345744
15625
x
    The equation is transformed into :
     1 x + x ×
5929
1000000
x + x ×
1
100
x + x ×
5929
100000000
x x = 64 +
345744
15625
x

    The solution of the equation:
        x1≈-2.694702 , keep 6 decimal places
        x2≈18.470349 , 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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