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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.
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    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 2/d+1/(d-10)+1/(d-20) = 1/(d-5) .
    Question type: Equation
    Solution:Original question:
     2 ÷ d + 1 ÷ ( d 10) + 1 ÷ ( d 20) = 1 ÷ ( d 5)
     Multiply both sides of the equation by: d  ,  ( d 5)
     2( d 5) + 1 ÷ ( d 10) × d ( d 5) + 1 ÷ ( d 20) × d ( d 5) = 1 d
    Remove a bracket on the left of the equation::
     2 d 2 × 5 + 1 ÷ ( d 10) × d ( d 5) + 1 ÷ ( d 20) × d ( d 5) = 1 d
    The equation is reduced to :
     2 d 10 + 1 ÷ ( d 10) × d ( d 5) + 1 ÷ ( d 20) × d ( d 5) = 1 d
     Multiply both sides of the equation by:( d 10)
     2 d ( d 10)10( d 10) + 1 d ( d 5) + 1 ÷ ( d 20) × d ( d 5) = 1 d ( d 10)
    Remove a bracket on the left of the equation:
     2 d d 2 d × 1010( d 10) + 1 d ( d 5) + 1 = 1 d ( d 10)
    Remove a bracket on the right of the equation::
     2 d d 2 d × 1010( d 10) + 1 d ( d 5) + 1 = 1 d d 1 d × 10
    The equation is reduced to :
     2 d d 20 d 10( d 10) + 1 d ( d 5) + 1 ÷ ( d 20) = 1 d d 10 d
     Multiply both sides of the equation by:( d 20)
     2 d d ( d 20)20 d ( d 20)10( d 10)( d 20) + 1 d = 1 d d ( d 20)10 d ( d 20)
    Remove a bracket on the left of the equation:
     2 d d d 2 d d × 2020 d ( d 20)10 = 1 d d ( d 20)10 d ( d 20)
    Remove a bracket on the right of the equation::
     2 d d d 2 d d × 2020 d ( d 20)10 = 1 d d d 1 d d × 2010 d ( d 20)
    The equation is reduced to :
     2 d d d 40 d d 20 d ( d 20)10( d 10) = 1 d d d 20 d d 10 d ( d 20)
    Remove a bracket on the left of the equation:
     2 d d d 40 d d 20 d d + 20 d = 1 d d d 20 d d 10 d ( d 20)
    Remove a bracket on the right of the equation::
     2 d d d 40 d d 20 d d + 20 d = 1 d d d 20 d d 10 d d + 10 d
    The equation is reduced to :
     2 d d d 40 d d 20 d d + 400 d = 1 d d d 20 d d 10 d d + 200 d
    Remove a bracket on the left of the equation:
     2 d d d 40 d d 20 d d + 400 d = 1 d d d 20 d d 10 d d + 200 d
    The equation is reduced to :
     2 d d d 40 d d 20 d d + 400 d = 1 d d d 20 d d 10 d d + 200 d
    Remove a bracket on the left of the equation:
     2 d d d 40 d d 20 d d + 400 d = 1 d d d 20 d d 10 d d + 200 d
    The equation is reduced to :
     2 d d d 40 d d 20 d d + 400 d = 1 d d d 20 d d 10 d d + 200 d
    The equation is reduced to :
     2 d d d 40 d d 20 d d + 600 d = 1 d d d 20 d d 10 d d + 200 d
    Remove a bracket on the left of the equation:
     2 d d d 40 d d 20 d d + 600 d = 1 d d d 20 d d 10 d d + 200 d
    The equation is reduced to :
     2 d d d 40 d d 20 d d + 600 d = 1 d d d 20 d d 10 d d + 200 d

    
        d≈15.418685 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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