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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+x)(18/19*x+1/19) = 1 .
    Question type: Equation
    Solution:Original question:
     (1 + x )(18 ÷ 19 × x + 1 ÷ 19) = 1
    Remove the bracket on the left of the equation:
     Left side of the equation = 1(18 ÷ 19 × x + 1 ÷ 19) + x (18 ÷ 19 × x + 1 ÷ 19)
                                             = 1 × 18 ÷ 19 × x + 1 × 1 ÷ 19 + x (18 ÷ 19 × x + 1 ÷ 19)
                                             =
18
19
x +
1
19
+ x (18 ÷ 19 × x + 1 ÷ 19)
                                             =
18
19
x +
1
19
+ x × 18 ÷ 19 × x + x × 1 ÷ 19
                                             =
18
19
x +
1
19
+ x ×
18
19
x + x ×
1
19
                                             = 1 x +
1
19
+ x ×
18
19
x
    The equation is transformed into :
     1 x +
1
19
+ x ×
18
19
x = 1

    The solution of the equation:
        x1≈-1.658507 , keep 6 decimal places
        x2≈0.602952 , 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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