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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 (x(x-1))/2((x+1)(x+6))/3-((x+1)(x-1))/6 = 1 .
    Question type: Equation
    Solution:Original question:
     ( x ( x 1)) ÷ 2 × (( x + 1)( x + 6)) ÷ 3(( x + 1)( x 1)) ÷ 6 = 1
     Left side of the equation = ( x ( x 1)) ×
1
6
(( x + 1)( x + 6))(( x + 1)( x 1)) ×
1
6
    The equation is transformed into :
     ( x ( x 1)) ×
1
6
(( x + 1)( x + 6))(( x + 1)( x 1)) ×
1
6
= 1
    Remove the bracket on the left of the equation:
     Left side of the equation = x ( x 1) ×
1
6
(( x + 1)( x + 6))(( x + 1)( x 1)) ×
1
6
                                             = x x ×
1
6
(( x + 1)( x + 6)) x × 1 ×
1
6
(( x + 1)( x + 6))(( x + 1)( x 1)) ×
1
6
                                             = x x ×
1
6
(( x + 1)( x + 6)) x ×
1
6
(( x + 1)( x + 6))(( x + 1)( x 1)) ×
1
6
                                             = x x ×
1
6
( x + 1)( x + 6) x ×
1
6
(( x + 1)( x + 6))(( x + 1)( x 1)) ×
1
6
                                             = x x ×
1
6
x ( x + 6) + x x ×
1
6
× 1( x + 6) x ×
1
6
                                             = x x ×
1
6
x ( x + 6) + x x ×
1
6
( x + 6) x ×
1
6
(( x + 1)( x + 6))
                                             = x x ×
1
6
x x + x x ×
1
6
x × 6 + x x
                                             = x x ×
1
6
x x + x x × 1 x + x x ×
1
6
                                             = x x ×
1
6
x x + x x × 1 x + x x ×
1
6
                                             = x x ×
1
6
x x + x x × 1 x + x x ×
1
6
                                             = x x ×
1
6
x x + x x × 1 x + x x ×
1
6
                                             = x x ×
1
6
x x + x x × 1 x + x x ×
1
6
                                             = x x ×
1
6
x x + x x × 1 x + x x ×
1
6
                                             = x x ×
1
6
x x + x x × 1 x + x x ×
1
6
                                             = x x ×
1
6
x x + x x × 1 x + x x ×
1
6
                                             = x x ×
1
6
x x + x x × 1 x + x x ×
1
6
                                             = x x ×
1
6
x x + x x × 1 x + x x ×
1
6
                                             = x x ×
1
6
x x + x x × 1 x + x x ×
1
6
                                             = x x ×
1
6
x x + x x × 1 x + x x ×
1
6
                                             = x x ×
1
6
x x + x x × 1 x + x x ×
1
6
                                             = x x ×
1
6
x x + x x × 1 x + x x ×
1
6
                                             = x x ×
1
6
x x + x x × 1 x + x x ×
1
6
                                             = x x ×
1
6
x x + x x × 1 x + x x ×
1
6

    The solution of the equation:
        x1≈-6.187619 , keep 6 decimal places
        x2≈1.305038 , 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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