Overview: 2 questions will be solved this time.Among them
           ☆1 inequalities
           ☆1 equations

[ 1/2Inequality]
    Assignment:Find the solution set of inequality (12.5*x*x/(4-x*x)-3*x*x+2)/(25*x/(4-x*x)-5*x) > 0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality：
         ( 12.5 * x * x / ( 4 - x * x ) - 3 * x * x + 2 ) / ( 25 * x / ( 4 - x * x ) - 5 * x ) > 0         (1)
        From the definition field of divisor
         4 - x * x ≠ 0        (2 )
        From the definition field of divisor
         4 - x * x ≠ 0        (3 )
        From the definition field of divisor
         25 * x / ( 4 - x * x ) - 5 * x ≠ 0        (4 )

---

    From inequality(1)：
         x ＞ 0
    From inequality(2)：
         x < -2 或  -2 < x < 2 或  x ＞ 2
    From inequality(3)：
         x < -2 或  -2 < x < 2 或  x ＞ 2
    From inequality(4)：
         x < -2 或  -2 < x < 0 或  0 < x < 2 或  x ＞ 2

---

    From inequalities (1) and (2)
         0 < x < 2 或  x ＞ 2    (5)
    From inequalities (3) and (5)
         0 < x < 2 或  x ＞ 2    (6)
    From inequalities (4) and (6)
         0 < x < 2 或  x ＞ 2    (7)

---

    The final solution set is :
         0 < x < 2 或  x ＞ 2
[ 2/2 Equation]
    Work: Find the solution of equation ((15+x*x/2)*x*x*x/(4-x*x)+1.5*x*(1-x*x)/(4-x*x)+2*x/(4-x*x)+x*x+1)/((-5*x*x*(1-5/(4-x*x)))/(4-x*x)) = 0 .
    Question type: Equation
    Solution:Original question:

(

(

15

+

x

x

÷

2

)

x

x

x

÷

(

4

−

x

x

)

+

3 2

x

(

1

−

x

x

)

÷

(

4

−

x

x

)

+

2

x

÷

(

4

−

x

x

)

)

÷

(

(

-

5

x

x

(

1

−

5

÷

(

4

−

x

x

)

)

)

÷

(

4

−

x

x

)

)

=

0

Multiply both sides of the equation by:

(

(

-

5

x

x

(

1

−

5

÷

(

4

−

x

x

)

)

)

÷

(

4

−

x

x

)

)

(

(

15

+

x

x

÷

2

)

x

x

x

÷

(

4

−

x

x

)

+

3 2

x

(

1

−

x

x

)

÷

(

4

−

x

x

)

+

2

x

÷

(

4

−

x

x

)

)

=

0

    Remove a bracket on the left of the equation:：

(

15

+

x

x

÷

2

)

x

x

x

÷

(

4

−

x

x

)

+

3 2

x

(

1

−

x

x

)

÷

(

4

−

x

x

)

+

2

x

÷

(

4

−

x

x

)

=

0

Multiply both sides of the equation by:

(

4

−

x

x

)

(

15

+

x

x

÷

2

)

x

x

x

+

3 2

x

(

1

−

x

x

)

+

2

x

+

x

x

(

4

−

x

x

)

=

0

    Remove a bracket on the left of the equation:

15

x

x

x

+

x

x

÷

2

×

x

x

x

+

3 2

x

=

0

    Remove a bracket on the left of the equation:

15

x

x

x

+

x

x

×

1 2

x

x

x

+

3 2

x

=

0

    The equation is reduced to :

15

x

x

x

+

x

x

×

1 2

x

x

x

+

3 2

x

=

0

    The equation is reduced to :

15

x

x

x

+

x

x

×

1 2

x

x

x

+

7 2

x

=

0

    Remove a bracket on the left of the equation:

15

x

x

x

+

x

x

×

1 2

x

x

x

+

7 2

x

=

0

    Remove a bracket on the left of the equation:

15

x

x

x

+

x

x

×

1 2

x

x

x

+

7 2

x

=

0

    The equation is reduced to :

15

x

x

x

+

x

x

×

1 2

x

x

x

+

7 2

x

=

0

    the solutions is:
        x≈-0.593261 , keep 6 decimal places    
    There are 1 solution(s).

解方程的详细方法请参阅：《方程的解法》

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