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[ 1/1 Equation]
    Work: Find the solution of equation 4/x-x = （2+x）×x/2 .
    Question type: Equation
    Solution:Original question:

4

÷

x

−

x

=

(

2

+

x

)

x

÷

2

Multiply both sides of the equation by:

x

4

−

x

x

=

(

2

+

x

)

x

÷

2

×

x

    Remove a bracket on the right of the equation:：

4

−

x

x

=

2

x

÷

2

×

x

+

x

x

÷

2

×

x

    The equation is reduced to :

4

−

x

x

=

1

x

x

+

x

x

×

1 2

x

    After the equation is converted into a general formula, there is a common factor:
    ( x + 2 )
    From
        x + 2 = 0
    it is concluded that:：

x1=-2

    Solutions that cannot be obtained by factorization:
        x₂≈-3.236068 , keep 6 decimal places
        x₃≈1.236068 , 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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