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:
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=370.83871Your problem has not been solved here? Please go to the Hot Problems section!