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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 (x+1)(x+1)+(2/x+2)(2/x+2) = 5 .
    Question type: Equation
    Solution:Original question:
     ( x + 1)( x + 1) + (2 ÷ x + 2)(2 ÷ x + 2) = 5
    Remove a bracket on the left of the equation::
      x ( x + 1) + 1( x + 1) + (2 ÷ x + 2)(2 ÷ x + 2) = 5
    Remove a bracket on the left of the equation:
      x x + x × 1 + 1( x + 1) + (2 ÷ x + 2)(2 ÷ x + 2) = 5
    Remove a bracket on the left of the equation:
      x x + 1 x + 1 x + 1 × 1 + (2 ÷ x + 2)(2 ÷ x + 2) = 5
    The equation is reduced to :
      x x + 1 x + 1 x + 1 + (2 ÷ x + 2)(2 ÷ x + 2) = 5
    The equation is reduced to :
      x x + 2 x + 1 + (2 ÷ x + 2)(2 ÷ x + 2) = 5
    Remove a bracket on the left of the equation:
      x x + 2 x + 1 + 2 ÷ x × (2 ÷ x + 2) + 2(2 ÷ x + 2) = 5
     Multiply both sides of the equation by: x
      x x x + 2 x x + 1 x + 2(2 ÷ x + 2) + 2(2 ÷ x + 2) = 5 x
    Remove a bracket on the left of the equation:
      x x x + 2 x x + 1 x + 2 × 2 ÷ x + 2 = 5 x
    The equation is reduced to :
      x x x + 2 x x + 1 x + 4 ÷ x + 4 + 2 = 5 x
     Multiply both sides of the equation by: x
      x x x x + 2 x x x + 1 x x + 4 = 5 x x
    Remove a bracket on the left of the equation:
      x x x x + 2 x x x + 1 x x + 4 = 5 x x
    The equation is reduced to :
      x x x x + 2 x x x + 1 x x + 4 = 5 x x

    The solution of the equation:
        x1≈-2.825005 , keep 6 decimal places
        x2≈-0.479094 , 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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