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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 1/s+1/(s+2)+1/(s+3) = 1/(s+5) .
    Question type: Equation
    Solution:Original question:
     1 ÷ s + 1 ÷ ( s + 2) + 1 ÷ ( s + 3) = 1 ÷ ( s + 5)
     Multiply both sides of the equation by: s  ,  ( s + 5)
     1( s + 5) + 1 ÷ ( s + 2) × s ( s + 5) + 1 ÷ ( s + 3) × s ( s + 5) = 1 s
    Remove a bracket on the left of the equation::
     1 s + 1 × 5 + 1 ÷ ( s + 2) × s ( s + 5) + 1 ÷ ( s + 3) × s ( s + 5) = 1 s
    The equation is reduced to :
     1 s + 5 + 1 ÷ ( s + 2) × s ( s + 5) + 1 ÷ ( s + 3) × s ( s + 5) = 1 s
     Multiply both sides of the equation by:( s + 2)
     1 s ( s + 2) + 5( s + 2) + 1 s ( s + 5) + 1 ÷ ( s + 3) × s ( s + 5) = 1 s ( s + 2)
    Remove a bracket on the left of the equation:
     1 s s + 1 s × 2 + 5( s + 2) + 1 s ( s + 5) + 1 = 1 s ( s + 2)
    Remove a bracket on the right of the equation::
     1 s s + 1 s × 2 + 5( s + 2) + 1 s ( s + 5) + 1 = 1 s s + 1 s × 2
    The equation is reduced to :
     1 s s + 2 s + 5( s + 2) + 1 s ( s + 5) + 1 ÷ ( s + 3) = 1 s s + 2 s
     Multiply both sides of the equation by:( s + 3)
     1 s s ( s + 3) + 2 s ( s + 3) + 5( s + 2)( s + 3) + 1 s = 1 s s ( s + 3) + 2 s ( s + 3)
    Remove a bracket on the left of the equation:
     1 s s s + 1 s s × 3 + 2 s ( s + 3) + 5 = 1 s s ( s + 3) + 2 s ( s + 3)
    Remove a bracket on the right of the equation::
     1 s s s + 1 s s × 3 + 2 s ( s + 3) + 5 = 1 s s s + 1 s s × 3 + 2 s ( s + 3)
    The equation is reduced to :
     1 s s s + 3 s s + 2 s ( s + 3) + 5( s + 2) = 1 s s s + 3 s s + 2 s ( s + 3)
    Remove a bracket on the left of the equation:
     1 s s s + 3 s s + 2 s s + 2 s = 1 s s s + 3 s s + 2 s ( s + 3)
    Remove a bracket on the right of the equation::
     1 s s s + 3 s s + 2 s s + 2 s = 1 s s s + 3 s s + 2 s s + 2 s
    The equation is reduced to :
     1 s s s + 3 s s + 2 s s + 6 s = 1 s s s + 3 s s + 2 s s + 6 s
    Remove a bracket on the left of the equation:
     1 s s s + 3 s s + 2 s s + 6 s = 1 s s s + 3 s s + 2 s s + 6 s
    The equation is reduced to :
     1 s s s + 3 s s + 2 s s + 6 s = 1 s s s + 3 s s + 2 s s + 6 s
    Remove a bracket on the left of the equation:
     1 s s s + 3 s s + 2 s s + 6 s = 1 s s s + 3 s s + 2 s s + 6 s
    The equation is reduced to :
     1 s s s + 3 s s + 2 s s + 6 s = 1 s s s + 3 s s + 2 s s + 6 s
    The equation is reduced to :
     1 s s s + 3 s s + 2 s s + 21 s = 1 s s s + 3 s s + 2 s s + 6 s
    Remove a bracket on the left of the equation:
     1 s s s + 3 s s + 2 s s + 21 s = 1 s s s + 3 s s + 2 s s + 6 s
    The equation is reduced to :
     1 s s s + 3 s s + 2 s s + 21 s = 1 s s s + 3 s s + 2 s s + 6 s

    The solution of the equation:
        s1≈-6.517113 , keep 6 decimal places
        s2≈-2.596424 , keep 6 decimal places
        s3≈-0.886462 , 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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