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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 w*w*(0.1*w*0.1*w+1)*(0.5*0.5*w*w+1) = 100 .
    Question type: Equation
    Solution:Original question:
      w w (
1
10
w ×
1
10
w + 1)(
1
2
×
1
2
w w + 1) = 100
    Remove the bracket on the left of the equation:
     Left side of the equation = w w ×
1
10
w ×
1
10
w (
1
2
×
1
2
w w + 1) + w w × 1(
1
2
×
1
2
w w + 1)
                                             = w w ×
1
100
w w (
1
2
×
1
2
w w + 1) + w w × 1(
1
2
×
1
2
w w + 1)
                                             = w w ×
1
100
w w ×
1
2
×
1
2
w w + w w ×
1
100
                                             = w w ×
1
400
w w w w + w w ×
1
100
w w
                                             = w w ×
1
400
w w w w + w w ×
1
100
w w
                                             = w w ×
1
400
w w w w + w w ×
1
100
w w
    The equation is transformed into :
      w w ×
1
400
w w w w + w w ×
1
100
w w = 100

    The solution of the equation:
        w1≈-4.077648 , keep 6 decimal places
        w2≈4.077648 , 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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