Mathematics
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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 2 questions will be solved this time.Among them
           ☆1 inequalities
           ☆1 equations

[ 1/2Inequality]
    Assignment:Find the solution set of inequality 0     Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        0 < x         (1)
         x <1         (2)

    From inequality(1):
         x > 0
    From inequality(2):
         x < 1

    From inequalities (1) and (2)
         0 < x < 1     (3)

    The final solution set is :

         0 < x < 1

[ 2/2 Equation]
    Work: Find the solution of equation x+x^(-1) = 3 .
    Question type: Equation
    Solution:
    After the equation is converted into a general formula, there is a common factor:
    ( x +0 )
    From
        x + 0 = 0

    it is concluded that::
        x1=0, it is the incremental root of the eqution.
    Solutions that cannot be obtained by factorization:
        x2≈0.381966 , keep 6 decimal places
        x3≈2.618034 , keep 6 decimal places
    
    There are 3 solution(s).

    There is(are) 1 additive root(s) and 2 real solutions.
(Note:additive root, generated by computer, but not suitable for this equation.)


解程的详细方法请参阅:《方程的解法》




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