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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 0 = 1/(s+1)+1/(s+2)+1/s .
    Question type: Equation
    Solution:Original question:
     0 = 1 ÷ ( s + 1) + 1 ÷ ( s + 2) + 1 ÷ s
     Multiply both sides of the equation by:( s + 1)
     0 = 1 + 1 ÷ ( s + 2) × ( s + 1) + 1 ÷ s × ( s + 1)
    Remove a bracket on the right of the equation::
     0 = 1 + 1 ÷ ( s + 2) × s + 1 ÷ ( s + 2) × 1 + 1 ÷ s × ( s + 1)
    The equation is reduced to :
     0 = 1 + 1 ÷ ( s + 2) × s + 1 ÷ ( s + 2) + 1 ÷ s × ( s + 1)
     Multiply both sides of the equation by:( s + 2)
     0 = 1( s + 2) + 1 s + 1 + 1 ÷ s × ( s + 1)( s + 2)
    Remove a bracket on the right of the equation::
     0 = 1 s + 1 × 2 + 1 s + 1 + 1 ÷ s × ( s + 1)( s + 2)
    The equation is reduced to :
     0 = 1 s + 2 + 1 s + 1 + 1 ÷ s × ( s + 1)( s + 2)
    The equation is reduced to :
     0 = 2 s + 3 + 1 ÷ s × ( s + 1)( s + 2)
     Multiply both sides of the equation by: s
     0 = 2 s s + 3 s + 1( s + 1)( s + 2)
    Remove a bracket on the right of the equation::
     0 = 2 s s + 3 s + 1 s ( s + 2) + 1 × 1( s + 2)
    The equation is reduced to :
     0 = 2 s s + 3 s + 1 s ( s + 2) + 1( s + 2)
    Remove a bracket on the right of the equation::
     0 = 2 s s + 3 s + 1 s s + 1 s × 2 + 1
    The equation is reduced to :
     0 = 2 s s + 3 s + 1 s s + 2 s + 1( s + 2)
    The equation is reduced to :
     0 = 2 s s + 5 s + 1 s s + 1( s + 2)
    Remove a bracket on the right of the equation::
     0 = 2 s s + 5 s + 1 s s + 1 s + 1 × 2
    The equation is reduced to :
     0 = 2 s s + 5 s + 1 s s + 1 s + 2
    The equation is reduced to :
     0 = 2 s s + 6 s + 1 s s + 2

    The solution of the equation:
        s1≈-1.577350 , keep 6 decimal places
        s2≈-0.422650 , 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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