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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 s*(0.2s+1)*(0.0625s+1) = 1/40 .
    Question type: Equation
    Solution:Original question:
      s (
1
5
s + 1)(
1
16
s + 1) = 1 ÷ 40
    Remove the bracket on the left of the equation:
     Left side of the equation = s ×
1
5
s (
1
16
s + 1) + s × 1(
1
16
s + 1)
                                             = s ×
1
5
s ×
1
16
s + s ×
1
5
s × 1 + s × 1(
1
16
s + 1)
                                             = s ×
1
80
s s + s ×
1
5
s + s × 1(
1
16
s + 1)
                                             = s ×
1
80
s s + s ×
1
5
s + s × 1 ×
1
16
s + s
                                             = s ×
1
80
s s + s ×
1
5
s + s ×
1
16
s + s × 1
    The equation is transformed into :
      s ×
1
80
s s + s ×
1
5
s + s ×
1
16
s + 1 s = 1 ÷ 40
     Right side of the equation =
1
40
    The equation is transformed into :
      s ×
1
80
s s + s ×
1
5
s + s ×
1
16
s + 1 s =
1
40

    The solution of the equation:
        s1≈-15.988616 , keep 6 decimal places
        s2≈-5.036221 , keep 6 decimal places
        s3≈0.024838 , 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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