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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)+1/x-1/(x+2)-1/(x+3) = 0 .
    Question type: Equation
    Solution:Original question:
     1 ÷ ( x + 1) + 1 ÷ x 1 ÷ ( x + 2)1 ÷ ( x + 3) = 0
     Multiply both sides of the equation by:( x + 1)
     1 + 1 ÷ x × ( x + 1)1 ÷ ( x + 2) × ( x + 1)1 ÷ ( x + 3) × ( x + 1) = 0
    Remove a bracket on the left of the equation::
     1 + 1 ÷ x × x + 1 ÷ x × 11 ÷ ( x + 2) × ( x + 1)1 ÷ ( x + 3) = 0
    The equation is reduced to :
     1 + 1 ÷ x × x + 1 ÷ x 1 ÷ ( x + 2) × ( x + 1)1 ÷ ( x + 3) × ( x + 1) = 0
     Multiply both sides of the equation by: x
     1 x + 1 ÷ 1 × 1 x + 11 ÷ ( x + 2) × ( x + 1) x 1 = 0
    Remove a bracket on the left of the equation:
     1 x + 1 ÷ 1 × 1 x + 11 ÷ ( x + 2) × x x 1 = 0
    The equation is reduced to :
     1 x + 1 x + 11 ÷ ( x + 2) × x x 1 ÷ ( x + 2) × x = 0
    The equation is reduced to :
     2 x + 11 ÷ ( x + 2) × x x 1 ÷ ( x + 2) × x 1 ÷ ( x + 3) = 0
     Multiply both sides of the equation by:( x + 2)
     2 x ( x + 2) + 1( x + 2)1 x x 1 x 1 ÷ ( x + 3) = 0
    Remove a bracket on the left of the equation:
     2 x x + 2 x × 2 + 1( x + 2)1 x x 1 = 0
    The equation is reduced to :
     2 x x + 4 x + 1( x + 2)1 x x 1 x = 0
    The equation is reduced to :
     2 x x + 3 x + 1( x + 2)1 x x 1 ÷ ( x + 3) = 0
     Multiply both sides of the equation by:( x + 3)
     2 x x ( x + 3) + 3 x ( x + 3) + 1( x + 2)( x + 3)1 x = 0
    Remove a bracket on the left of the equation:
     2 x x x + 2 x x × 3 + 3 x ( x + 3) + 1 = 0
    The equation is reduced to :
     2 x x x + 6 x x + 3 x ( x + 3) + 1( x + 2) = 0
    Remove a bracket on the left of the equation:
     2 x x x + 6 x x + 3 x x + 3 x = 0
    The equation is reduced to :
     2 x x x + 6 x x + 3 x x + 9 x = 0
    Remove a bracket on the left of the equation:
     2 x x x + 6 x x + 3 x x + 9 x = 0
    The equation is reduced to :
     2 x x x + 6 x x + 3 x x + 9 x = 0
    Remove a bracket on the left of the equation:
     2 x x x + 6 x x + 3 x x + 9 x = 0
    The equation is reduced to :
     2 x x x + 6 x x + 3 x x + 9 x = 0
    The equation is reduced to :
     2 x x x + 6 x x + 3 x x + 12 x = 0

    The solution of the equation:
        x1≈-2.366025 , keep 6 decimal places
        x2≈-0.633975 , 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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