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    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+2)+1/(d+4) = 1/(d+1) .
    Question type: Equation
    Solution:Original question:
     2 ÷ d + 1 ÷ ( d + 2) + 1 ÷ ( d + 4) = 1 ÷ ( d + 1)
     Multiply both sides of the equation by: d  ,  ( d + 1)
     2( d + 1) + 1 ÷ ( d + 2) × d ( d + 1) + 1 ÷ ( d + 4) × d ( d + 1) = 1 d
    Remove a bracket on the left of the equation::
     2 d + 2 × 1 + 1 ÷ ( d + 2) × d ( d + 1) + 1 ÷ ( d + 4) × d ( d + 1) = 1 d
    The equation is reduced to :
     2 d + 2 + 1 ÷ ( d + 2) × d ( d + 1) + 1 ÷ ( d + 4) × d ( d + 1) = 1 d
     Multiply both sides of the equation by:( d + 2)
     2 d ( d + 2) + 2( d + 2) + 1 d ( d + 1) + 1 ÷ ( d + 4) × d ( d + 1) = 1 d ( d + 2)
    Remove a bracket on the left of the equation:
     2 d d + 2 d × 2 + 2( d + 2) + 1 d ( d + 1) + 1 = 1 d ( d + 2)
    Remove a bracket on the right of the equation::
     2 d d + 2 d × 2 + 2( d + 2) + 1 d ( d + 1) + 1 = 1 d d + 1 d × 2
    The equation is reduced to :
     2 d d + 4 d + 2( d + 2) + 1 d ( d + 1) + 1 ÷ ( d + 4) = 1 d d + 2 d
     Multiply both sides of the equation by:( d + 4)
     2 d d ( d + 4) + 4 d ( d + 4) + 2( d + 2)( d + 4) + 1 d = 1 d d ( d + 4) + 2 d ( d + 4)
    Remove a bracket on the left of the equation:
     2 d d d + 2 d d × 4 + 4 d ( d + 4) + 2 = 1 d d ( d + 4) + 2 d ( d + 4)
    Remove a bracket on the right of the equation::
     2 d d d + 2 d d × 4 + 4 d ( d + 4) + 2 = 1 d d d + 1 d d × 4 + 2 d ( d + 4)
    The equation is reduced to :
     2 d d d + 8 d d + 4 d ( d + 4) + 2( d + 2) = 1 d d d + 4 d d + 2 d ( d + 4)
    Remove a bracket on the left of the equation:
     2 d d d + 8 d d + 4 d d + 4 d = 1 d d d + 4 d d + 2 d ( d + 4)
    Remove a bracket on the right of the equation::
     2 d d d + 8 d d + 4 d d + 4 d = 1 d d d + 4 d d + 2 d d + 2 d
    The equation is reduced to :
     2 d d d + 8 d d + 4 d d + 16 d = 1 d d d + 4 d d + 2 d d + 8 d
    Remove a bracket on the left of the equation:
     2 d d d + 8 d d + 4 d d + 16 d = 1 d d d + 4 d d + 2 d d + 8 d
    The equation is reduced to :
     2 d d d + 8 d d + 4 d d + 16 d = 1 d d d + 4 d d + 2 d d + 8 d
    Remove a bracket on the left of the equation:
     2 d d d + 8 d d + 4 d d + 16 d = 1 d d d + 4 d d + 2 d d + 8 d
    The equation is reduced to :
     2 d d d + 8 d d + 4 d d + 16 d = 1 d d d + 4 d d + 2 d d + 8 d
    The equation is reduced to :
     2 d d d + 8 d d + 4 d d + 24 d = 1 d d d + 4 d d + 2 d d + 8 d
    Remove a bracket on the left of the equation:
     2 d d d + 8 d d + 4 d d + 24 d = 1 d d d + 4 d d + 2 d d + 8 d
    The equation is reduced to :
     2 d d d + 8 d d + 4 d d + 24 d = 1 d d d + 4 d d + 2 d d + 8 d

    
        d≈-3.083737 , 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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