Mathematics
         
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Mathematical calculation:
    Enter the mathematical formula directly and click the "Next" button to get the calculation answer.
    It supports mathematical functions (including trigonometric functions).
    Current location:Mathematical operation > History of Mathematical Computation > Answer

    Overview: 6 questions will be solved this time.Among them
           ☆3 inequalities
           ☆2 equations
           ☆1 arithmetic calculations

[1/6 Formula]
    Work: Calculate the value of equation (-2)^2+6/(-3)-sqrt(9)+(-0.1)^0 .
    Question type: Mathematical calculation
    Solution:
          (-2)^2+6/(-3)-sqrt(9)+(-0.1)^0
        =-2^2+6/(-3)-sqrt(9)+(-0.1)^0
        =-2^2+6/(-3)-sqrt(9)+(-0.1)^0
        =-2^2+6/(-3)-sqrt9+(-0.1)^0
        =-2^2+6/(-3)-sqrt9+(-0.1)^0
        =-2^2+6/-3-3+-0.1^0
        =4+6/(-3)-3+(-0.1)^0
        =4+6/(-3)-3+1
        =4+(-2)-3+1
        =2-3+1
        =-1+1
        =0

    Answer:(-2)^2+6/(-3)-sqrt(9)+(-0.1)^0=0
[ 2/6Inequality]
    Assignment:Find the solution set of inequality x^2-x ≤2 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         x ^ 2 - x ≤2         (1)

    From inequality(1):
         -1 ≤ x ≤ 2

    The final solution set is :

         -1 ≤ x ≤ 2

[ 3/6 Equation]
    Work: Find the solution of equation x^3-2*x = 1 .
    Question type: Equation
    Solution:
    After the equation is converted into a general formula, there is a common factor:
    ( x + 1 )
    From
        x + 1 = 0

    it is concluded that::
        x1=-1
    Solutions that cannot be obtained by factorization:
        x2≈-0.618034 , keep 6 decimal places
        x3≈1.618034 , keep 6 decimal places
    
    There are 3 solution(s).


解程的详细方法请参阅:《方程的解法》

[ 4/6 Equation]
    Work: Find the solution of equation x^ln(x) = 4 .
    Question type: Equation
    Solution:
    The solution of the equation:
        x1≈0.308076 , keep 6 decimal places
        x2≈3.245956 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《方程的解法》

[ 5/6Inequality]
    Assignment:Find the solution set of inequality x+2 ≥2*x .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         x + 2 ≥2 * x         (1)

    From inequality(1):
         x ≤ 2

    The final solution set is :

         x ≤ 2

[ 6/6Inequality]
    Assignment:Find the solution set of inequality 1/x ≤1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        1 / x ≤1         (1)
        From the definition field of divisor
        x ≠ 0        (2 )

    From inequality(1):
         x ≤ 0 或  x ≥ 1
    From inequality(2):
         x < 0 或  x > 0

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

    The final solution set is :

         x < 0 或  x ≥ 1



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