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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 2.551(2+2x) = (2x+xx)(2x+xx)(2x+xx) .
    Question type: Equation
    Solution:Original question:
     
2551
1000
(2 + 2 x ) = (2 x + x x )(2 x + x x )(2 x + x x )
    Remove the bracket on the left of the equation:
     Left side of the equation =
2551
1000
× 2 +
2551
1000
× 2 x
                                             =
2551
500
+
2551
500
x
    The equation is transformed into :
     
2551
500
+
2551
500
x = (2 x + x x )(2 x + x x )(2 x + x x )
    Remove the bracket on the right of the equation:
     Right side of the equation = 2 x (2 x + x x )(2 x + x x ) + x x (2 x + x x )(2 x + x x )
                                               = 2 x × 2 x (2 x + x x ) + 2 x x x (2 x + x x ) + x x
                                               = 4 x x (2 x + x x ) + 2 x x x (2 x + x x ) + x x (2 x + x x )
                                               = 4 x x × 2 x + 4 x x x x + 2 x
                                               = 8 x x x + 4 x x x x + 2 x x
                                               = 8 x x x + 4 x x x x + 2 x x
                                               = 8 x x x + 4 x x x x + 4 x x
                                               = 8 x x x + 4 x x x x + 4 x x
                                               = 8 x x x + 4 x x x x + 4 x x
                                               = 8 x x x + 4 x x x x + 4 x x
                                               = 8 x x x + 4 x x x x + 4 x x
    The equation is transformed into :
     
2551
500
+
2551
500
x = 8 x x x + 4 x x x x + 4 x x

    The solution of the equation:
        x1≈-1.177963 , keep 6 decimal places
        x2≈0.753879 , 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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