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 22*29-(22-2x)*(29-2x) = 1/4*22*29 .
    Question type: Equation
    Solution:Original question:
     22 × 29(222 x )(292 x ) = 1 ÷ 4 × 22 × 29
     Left side of the equation = 638(222 x )(292 x )
    The equation is transformed into :
     638(222 x )(292 x ) = 1 ÷ 4 × 22 × 29
    Remove the bracket on the left of the equation:
     Left side of the equation = 63822(292 x ) + 2 x (292 x )
                                             = 63822 × 29 + 22 × 2 x + 2 x (292 x )
                                             = 638638 + 44 x + 2 x (292 x )
                                             = 0 + 44 x + 2 x (292 x )
                                             = 0 + 44 x + 2 x × 292 x × 2 x
                                             = 0 + 44 x + 58 x 4 x x
                                             = 0 + 102 x 4 x x
    The equation is transformed into :
     0 + 102 x 4 x x = 1 ÷ 4 × 22 × 29
     Right side of the equation =
319
2
    The equation is transformed into :
     0 + 102 x 4 x x =
319
2

    The solution of the equation:
        x1≈1.673561 , keep 6 decimal places
        x2≈23.826439 , 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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