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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.
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    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)(1-12x)+23/11*(2x-3)*(x-1)*(x-13)+1/11*(14-13x)*(x-2)*(x-1) = 3 .
    Question type: Equation
    Solution:Original question:
     (1 − x )(1 − 12 x ) + 23 ÷ 11 × (2 x − 3)( x − 1)( x − 13) + 1 ÷ 11 × (14 − 13 x )( x − 2)( x − 1) = 3
     Left side of the equation = (1 − x )(1 − 12 x ) +
23
11
(2 x − 3)( x − 1)( x − 13) +
1
11
(14 − 13 x )( x − 2)( x − 1)
    The equation is transformed into :
     (1 − x )(1 − 12 x ) +
23
11
(2 x − 3)( x − 1)( x − 13) +
1
11
(14 − 13 x )( x − 2)( x − 1) = 3
    Remove the bracket on the left of the equation:
     Left side of the equation = 1(1 − 12 x ) − x (1 − 12 x ) +
23
11
(2 x − 3)( x − 1)( x − 13) +
1
11
(14 − 13 x )( x − 2)( x − 1)
                                             = 1 × 1 − 1 × 12 x − x (1 − 12 x ) +
23
11
(2 x − 3)( x − 1)( x − 13) +
1
11
                                             = 1 − 12 x − x (1 − 12 x ) +
23
11
(2 x − 3)( x − 1)( x − 13) +
1
11
(14 − 13 x )( x − 2)
                                             = 1 − 12 x − x × 1 + x × 12 x +
23
11
(2 x − 3)( x − 1)( x − 13)
                                             = 1 − 13 x + x × 12 x +
23
11
(2 x − 3)( x − 1)( x − 13) +
1
11
(14 − 13 x )
                                             = 1 − 13 x + x × 12 x +
23
11
 × 2 x ( x − 1)( x − 13) −
23
11
                                             = 1 − 13 x + x × 12 x +
46
11
 x ( x − 1)( x − 13) −
69
11
( x − 1)
                                             = 1 − 13 x + x × 12 x +
46
11
 x x ( x − 13) −
46
11
 x
                                             = 1 − 13 x + x × 12 x +
46
11
 x x ( x − 13) −
46
11
 x
                                             = 1 − 13 x + x × 12 x +
46
11
 x x x −
46
11
 x
                                             = 1 − 13 x + x × 12 x +
46
11
 x x x −
598
11
 x
                                             = 1 − 13 x + x × 12 x +
46
11
 x x x −
598
11
 x
                                             = 1 − 13 x + x × 12 x +
46
11
 x x x −
598
11
 x
                                             = 1 +
455
11
 x + x × 12 x +
46
11
 x x x −
598
11
 x
                                             = 1 +
455
11
 x + x × 12 x +
46
11
 x x x −
598
11
 x
                                             = 1 +
455
11
 x + x × 12 x +
46
11
 x x x −
598
11
 x
                                             = 1 +
455
11
 x + x × 12 x +
46
11
 x x x −
598
11
 x
                                             = 1 +
455
11
 x + x × 12 x +
46
11
 x x x −
598
11
 x
                                             = 1 +
1352
11
 x + x × 12 x +
46
11
 x x x −
598
11
 x
                                             = 1 +
1352
11
 x + x × 12 x +
46
11
 x x x −
598
11
 x
                                             = 1 +
1352
11
 x + x × 12 x +
46
11
 x x x −
598
11
 x
                                             = -
886
11
 +
1421
11
 x + x × 12 x +
46
11
 x x x −
598
11
 x
                                             = -
886
11
 +
1421
11
 x + x × 12 x +
46
11
 x x x −
598
11
 x

    The solution of the equation:
        x1≈1.092546 , keep 6 decimal places
        x2≈1.899889 , keep 6 decimal places
        x3≈13.007566 , keep 6 decimal places    
    There are 3 solution(s).

解程的详细方法请参阅：《方程的解法》


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