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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+1/(x+2)+1/(x+1) = 0 .
    Question type: Equation
    Solution:Original question:
     1 ÷ x + 1 ÷ ( x + 2) + 1 ÷ ( x + 1) = 0
     Multiply both sides of the equation by: x
     1 + 1 ÷ ( x + 2) × x + 1 ÷ ( x + 1) × x = 0
     Multiply both sides of the equation by:( x + 2)
     1( x + 2) + 1 x + 1 ÷ ( x + 1) × x ( x + 2) = 0
    Remove a bracket on the left of the equation:
     1 x + 1 × 2 + 1 x + 1 ÷ ( x + 1) × x ( x + 2) = 0
    The equation is reduced to :
     1 x + 2 + 1 x + 1 ÷ ( x + 1) × x ( x + 2) = 0
    The equation is reduced to :
     2 x + 2 + 1 ÷ ( x + 1) × x ( x + 2) = 0
     Multiply both sides of the equation by:( x + 1)
     2 x ( x + 1) + 2( x + 1) + 1 x ( x + 2) = 0
    Remove a bracket on the left of the equation:
     2 x x + 2 x × 1 + 2( x + 1) + 1 x ( x + 2) = 0
    The equation is reduced to :
     2 x x + 2 x + 2( x + 1) + 1 x ( x + 2) = 0
    Remove a bracket on the left of the equation:
     2 x x + 2 x + 2 x + 2 × 1 + 1 x ( x + 2) = 0
    The equation is reduced to :
     2 x x + 2 x + 2 x + 2 + 1 x ( x + 2) = 0
    The equation is reduced to :
     2 x x + 4 x + 2 + 1 x ( x + 2) = 0
    Remove a bracket on the left of the equation:
     2 x x + 4 x + 2 + 1 x x + 1 x × 2 = 0
    The equation is reduced to :
     2 x x + 4 x + 2 + 1 x x + 2 x = 0
    The equation is reduced to :
     2 x x + 6 x + 2 + 1 x x = 0

    The solution of the equation:
        x1≈-1.577350 , keep 6 decimal places
        x2≈-0.422650 , 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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