Mathematics
         
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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 (x2-1)/x = (x4-6x2+1)/24-4x2 .
    Question type: Equation
    Solution:Original question:
     ( x × 21) ÷ x = ( x × 46 x × 2 + 1) ÷ 244 x × 2
     Multiply both sides of the equation by: x
     ( x × 21) = ( x × 46 x × 2 + 1) ÷ 24 × x 4 x × 2 x
    Remove a bracket on the left of the equation::
      x × 21 = ( x × 46 x × 2 + 1) ÷ 24 × x 4 x × 2 x
    Remove a bracket on the right of the equation::
      x × 21 = x × 4 ÷ 24 × x 6 x × 2 ÷ 24 × x + 1 ÷ 24 × x
    The equation is reduced to :
      x × 21 = x ×
1
6
x
1
2
x x +
1
24
x 8 x x

    The solution of the equation:
        x1≈-0.483295 , keep 6 decimal places
        x2≈0.248295 , 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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