Mathematics
         
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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.
    It supports equations that contain mathematical functions.
    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+0.0625*x) = 14.9769 .
    Question type: Equation
    Solution:Original question:
      x (1 + x )(1 +
1
16
x ) =
149769
10000
    Remove the bracket on the left of the equation:
     Left side of the equation = x × 1(1 +
1
16
x ) + x x (1 +
1
16
x )
                                             = x × 1 × 1 + x × 1 ×
1
16
x + x x (1 +
1
16
x )
                                             = x × 1 + x ×
1
16
x + x x (1 +
1
16
x )
                                             = 1 x + x ×
1
16
x + x x × 1 + x x ×
1
16
x
    The equation is transformed into :
     1 x + x ×
1
16
x + x x × 1 + x x ×
1
16
x =
149769
10000

    The solution of the equation:
        x1≈-14.831954 , keep 6 decimal places
        x2≈-5.247131 , keep 6 decimal places
        x3≈3.079085 , 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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