Mathematics
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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 5 questions will be solved this time.Among them
           ☆1 inequalities
           ☆1 equations
           ☆2 arithmetic calculations
           ☆1 calculations of prime factor

[ 1/5Inequality]
    Assignment:Find the solution set of inequality 24 >3x/e .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        24 >3 * x / e         (1)

    From inequality(1):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!

    The final solution set is :

         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!

[ 2/5 Equation]
    Work: Find the solution of equation sinx+cosx = 1 .
    Question type: Equation
    Solution:
    The solution of the equation:
        x1=0

        x2≈-17.278760 , keep 6 decimal places
        x3≈-12.566371 , keep 6 decimal places
        x4≈-10.995574 , keep 6 decimal places
        x5≈-6.283185 , keep 6 decimal places
        x6≈-4.712389 , keep 6 decimal places
        x7≈1.570796 , keep 6 decimal places
        x8≈6.283185 , keep 6 decimal places
        x9≈7.853982 , keep 6 decimal places
        x10≈12.566371 , keep 6 decimal places
    
    There are 10 solution(s).
    *Note: Radian.

解程的详细方法请参阅:《方程的解法》

[3/5 Formula]
    Work: Calculate the value of equation 1/2+3/4+7/8+15/16 .
    Question type: Mathematical calculation
    Solution:
          1/2+3/4+7/8+15/16
        =0.5+3/4+7/8+15/16
        =0.5+0.75+7/8+15/16
        =0.5+0.75+0.875+15/16
        =0.5+0.75+0.875+0.9375
        =1.25+0.875+0.9375
        =2.125+0.9375
        =3.0625

    Answer:1/2+3/4+7/8+15/16=3.0625
[4/5 Digtal analysis]
    Work:Break 14125 into prime factors.
    Question type: Resolving prime factor
    Solution:
        14125=5*5*5*113

    *Note: 14125 has 4 prime factors.
[5/5 Formula]
    Work: Calculate the value of equation 132+1234*24/124 .
    Question type: Mathematical calculation
    Solution:
          132+1234*24/124
        =132+29616/124
        =132+238.83871
        =370.83871

    Answer:132+1234*24/124=370.83871



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