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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/(x+10) = 1/(x+1)+1/x+4/(x+4) .
    Question type: Equation
    Solution:Original question:
     1 ÷ ( x + 10) = 1 ÷ ( x + 1) + 1 ÷ x + 4 ÷ ( x + 4)
     Multiply both sides of the equation by:( x + 10) ,  ( x + 1)
     1( x + 1) = 1( x + 10) + 1 ÷ x × ( x + 10)( x + 1) + 4 ÷ ( x + 4) × ( x + 10)( x + 1)
    Remove a bracket on the left of the equation::
     1 x + 1 × 1 = 1( x + 10) + 1 ÷ x × ( x + 10)( x + 1) + 4 ÷ ( x + 4) × ( x + 10)( x + 1)
    Remove a bracket on the right of the equation::
     1 x + 1 × 1 = 1 x + 1 × 10 + 1 ÷ x × ( x + 10)( x + 1) + 4 ÷ ( x + 4) × ( x + 10)( x + 1)
    The equation is reduced to :
     1 x + 1 = 1 x + 10 + 1 ÷ x × ( x + 10)( x + 1) + 4 ÷ ( x + 4) × ( x + 10)( x + 1)
     Multiply both sides of the equation by: x
     1 x x + 1 x = 1 x x + 10 x + 1( x + 10)( x + 1) + 4 ÷ ( x + 4) × ( x + 10)( x + 1)
    Remove a bracket on the right of the equation::
     1 x x + 1 x = 1 x x + 10 x + 1 x ( x + 1) + 1 × 10( x + 1) + 4
    The equation is reduced to :
     1 x x + 1 x = 1 x x + 10 x + 1 x ( x + 1) + 10( x + 1) + 4 ÷ ( x + 4)
     Multiply both sides of the equation by:( x + 4)
     1 x x ( x + 4) + 1 x ( x + 4) = 1 x x ( x + 4) + 10 x ( x + 4) + 1 x ( x + 1)( x + 4) + 10
    Remove a bracket on the left of the equation:
     1 x x x + 1 x x × 4 + 1 x ( x + 4) = 1 x x ( x + 4) + 10 x ( x + 4) + 1 x ( x + 1)( x + 4) + 10
    Remove a bracket on the right of the equation::
     1 x x x + 1 x x × 4 + 1 x ( x + 4) = 1 x x x + 1 x x × 4 + 10 x ( x + 4) + 1
    The equation is reduced to :
     1 x x x + 4 x x + 1 x ( x + 4) = 1 x x x + 4 x x + 10 x ( x + 4) + 1 x
    Remove a bracket on the left of the equation:
     1 x x x + 4 x x + 1 x x + 1 x = 1 x x x + 4 x x + 10 x ( x + 4) + 1 x
    Remove a bracket on the right of the equation::
     1 x x x + 4 x x + 1 x x + 1 x = 1 x x x + 4 x x + 10 x x + 10 x
    The equation is reduced to :
     1 x x x + 4 x x + 1 x x + 4 x = 1 x x x + 4 x x + 10 x x + 40 x
    Remove a bracket on the right of the equation::
     1 x x x + 4 x x + 1 x x + 4 x = 1 x x x + 4 x x + 10 x x + 40 x
    The equation is reduced to :
     1 x x x + 4 x x + 1 x x + 4 x = 1 x x x + 4 x x + 10 x x + 40 x
    Remove a bracket on the right of the equation::
     1 x x x + 4 x x + 1 x x + 4 x = 1 x x x + 4 x x + 10 x x + 40 x
    The equation is reduced to :
     1 x x x + 4 x x + 1 x x + 4 x = 1 x x x + 4 x x + 10 x x + 40 x
    Remove a bracket on the right of the equation::
     1 x x x + 4 x x + 1 x x + 4 x = 1 x x x + 4 x x + 10 x x + 40 x
    The equation is reduced to :
     1 x x x + 4 x x + 1 x x + 4 x = 1 x x x + 4 x x + 10 x x + 40 x
    The equation is reduced to :
     1 x x x + 4 x x + 1 x x + 4 x = 1 x x x + 4 x x + 10 x x + 44 x

    The solution of the equation:
        x1≈-11.376375 , keep 6 decimal places
        x2≈-1.841823 , keep 6 decimal places
        x3≈-0.381802 , 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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