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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 2/x+1/(x+3) = 1/(x+4) .
    Question type: Equation
    Solution:Original question:
     2 ÷ x + 1 ÷ ( x + 3) = 1 ÷ ( x + 4)
     Multiply both sides of the equation by: x  ,  ( x + 4)
     2( x + 4) + 1 ÷ ( x + 3) × x ( x + 4) = 1 x
    Remove a bracket on the left of the equation::
     2 x + 2 × 4 + 1 ÷ ( x + 3) × x ( x + 4) = 1 x
    The equation is reduced to :
     2 x + 8 + 1 ÷ ( x + 3) × x ( x + 4) = 1 x
     Multiply both sides of the equation by:( x + 3)
     2 x ( x + 3) + 8( x + 3) + 1 x ( x + 4) = 1 x ( x + 3)
    Remove a bracket on the left of the equation:
     2 x x + 2 x × 3 + 8( x + 3) + 1 x ( x + 4) = 1 x ( x + 3)
    Remove a bracket on the right of the equation::
     2 x x + 2 x × 3 + 8( x + 3) + 1 x ( x + 4) = 1 x x + 1 x × 3
    The equation is reduced to :
     2 x x + 6 x + 8( x + 3) + 1 x ( x + 4) = 1 x x + 3 x
    Remove a bracket on the left of the equation:
     2 x x + 6 x + 8 x + 8 × 3 + 1 x ( x + 4) = 1 x x + 3 x
    The equation is reduced to :
     2 x x + 6 x + 8 x + 24 + 1 x ( x + 4) = 1 x x + 3 x
    The equation is reduced to :
     2 x x + 14 x + 24 + 1 x ( x + 4) = 1 x x + 3 x
    Remove a bracket on the left of the equation:
     2 x x + 14 x + 24 + 1 x x + 1 x × 4 = 1 x x + 3 x
    The equation is reduced to :
     2 x x + 14 x + 24 + 1 x x + 4 x = 1 x x + 3 x
    The equation is reduced to :
     2 x x + 18 x + 24 + 1 x x = 1 x x + 3 x

    The solution of the equation:
        x1≈-5.186141 , keep 6 decimal places
        x2≈-2.313859 , 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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