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 100000 = (w*w)*(0.01*w*w+1)(0.0001*w*w+1) .
    Question type: Equation
    Solution:Original question:
     100000 = ( w w )(
1
100
w w + 1)(
1
10000
w w + 1)
    Remove the bracket on the right of the equation:
     Right side of the equation = w w (
1
100
w w + 1)(
1
10000
w w + 1)
                                               = w w ×
1
100
w w (
1
10000
w w + 1) + w w × 1(
1
10000
w w + 1)
                                               = w w ×
1
100
w w ×
1
10000
w w + w w ×
1
100
w
                                               = w w ×
1
1000000
w w w w + w w ×
1
100
w w
                                               = w w ×
1
1000000
w w w w + w w ×
1
100
w w
                                               = w w ×
1
1000000
w w w w + w w ×
1
100
w w
    The equation is transformed into :
     100000 = w w ×
1
1000000
w w w w + w w ×
1
100
w w

    The solution of the equation:
        w1≈-52.449089 , keep 6 decimal places
        w2≈52.449089 , 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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