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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 (xx)/((1-x)(1-x)(1-x)) = 1600 .
    Question type: Equation
    Solution:Original question:
     ( x x ) ÷ ((1 x )(1 x )(1 x )) = 1600
     Multiply both sides of the equation by:((1 x )(1 x )(1 x ))
     ( x x ) = 1600((1 x )(1 x )(1 x ))
    Remove a bracket on the left of the equation::
      x x = 1600((1 x )(1 x )(1 x ))
    Remove a bracket on the right of the equation::
      x x = 1600(1 x )(1 x )(1 x )
    Remove a bracket on the right of the equation::
      x x = 1600 × 1(1 x )(1 x )1600 x (1 x )(1 x )
    The equation is reduced to :
      x x = 1600(1 x )(1 x )1600 x (1 x )(1 x )
    Remove a bracket on the right of the equation::
      x x = 1600 × 1(1 x )1600 x (1 x )1600 x (1 x )(1 x )
    The equation is reduced to :
      x x = 1600(1 x )1600 x (1 x )1600 x (1 x )(1 x )
    Remove a bracket on the right of the equation::
      x x = 1600 × 11600 x 1600 x (1 x )1600 x (1 x )(1 x )
    The equation is reduced to :
      x x = 16001600 x 1600 x (1 x )1600 x (1 x )(1 x )
    Remove a bracket on the right of the equation::
      x x = 16001600 x 1600 x × 1 + 1600 x x 1600 x (1 x )
    The equation is reduced to :
      x x = 16001600 x 1600 x + 1600 x x 1600 x (1 x )(1 x )
    The equation is reduced to :
      x x = 16003200 x + 1600 x x 1600 x (1 x )(1 x )
    Remove a bracket on the right of the equation::
      x x = 16003200 x + 1600 x x 1600 x × 1(1 x ) + 1600 x
    The equation is reduced to :
      x x = 16003200 x + 1600 x x 1600 x (1 x ) + 1600 x x
    Remove a bracket on the right of the equation::
      x x = 16003200 x + 1600 x x 1600 x × 1 + 1600 x x
    The equation is reduced to :
      x x = 16003200 x + 1600 x x 1600 x + 1600 x x + 1600
    The equation is reduced to :
      x x = 16004800 x + 1600 x x + 1600 x x + 1600 x x
    Remove a bracket on the right of the equation::
      x x = 16004800 x + 1600 x x + 1600 x x + 1600 x x
    The equation is reduced to :
      x x = 16004800 x + 1600 x x + 1600 x x + 1600 x x

    the solutions is:
        x≈0.919173 , keep 6 decimal places
    
    There are 1 solution(s).


解方程的详细方法请参阅:《方程的解法》



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