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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 1/16 = (1-x)*(1-19x)*(1-20x) .
    Question type: Equation
    Solution:Original question:
     1 ÷ 16 = (1 x )(119 x )(120 x )
     Left side of the equation =
1
16
    The equation is transformed into :
     
1
16
= (1 x )(119 x )(120 x )
    Remove the bracket on the right of the equation:
     Right side of the equation = 1(119 x )(120 x ) x (119 x )(120 x )
                                               = 1 × 1(120 x )1 × 19 x (120 x ) x (119 x )(120 x )
                                               = 1(120 x )19 x (120 x ) x (119 x )(120 x )
                                               = 1 × 11 × 20 x 19 x (120 x ) x (119 x )(120 x )
                                               = 120 x 19 x (120 x ) x (119 x )(120 x )
                                               = 120 x 19 x × 1 + 19 x × 20 x x (119 x )
                                               = 120 x 19 x + 380 x x x (119 x )(120 x )
                                               = 139 x + 380 x x x (119 x )(120 x )
                                               = 139 x + 380 x x x × 1(120 x ) + x × 19 x
                                               = 139 x + 380 x x x × 1 × 1 + x × 1 × 20
                                               = 139 x + 380 x x x × 1 + x × 20 x + x
                                               = 140 x + 380 x x + x × 20 x + x × 19 x
                                               = 140 x + 380 x x + x × 20 x + x × 19 x
                                               = 140 x + 380 x x + x × 20 x + x × 19 x
    The equation is transformed into :
     
1
16
= 140 x + 380 x x + x × 20 x + x × 19 x

    
        x≈0.999817 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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