Find the minimum value of 3x ^ 2 + 6x + 5 / 0.5x ^ 2 + X + 1

3x ^ 2 + 6x + 5 / 0.5x ^ 2 + X + 1 = (6x ^ 2 + 12x + 10) / (x ^ 2 + 2x + 2) = (6x ^ 2 + 12x + 12-2) / (x ^ 2 + 2x + 2) = 6-2 / ((x + 1) ^ 2 + 1) because (x + 1) ^ 2 + 1) ≥ 1, the minimum value of 6-2 / ((x + 1) ^ 2 + 1) is 4. Therefore, the minimum value of 3x ^ 2 + 6x + 5 / 0.5x ^ 2 + X + 1 is 4

RELATED INFORMATIONS

1. 479-201 is calculated by a simple method
2. If x > 2m + 1 and the solution set of x > - M-3 is x > 2, then the value of M is A system of inequalities in elementary school
3. How many centimeters is 2 meters
4. X-1 = half x + quarter x + eighth x (find x,
5. Human blood accounts for about one thirteenth of the body weight, and about two-thirds of the blood is water. Mr. Li's weight is 65 kg, and his blood contains about water How many kilos?
6. The number a is 40, which is 10 more than 3 / 5 of the number B. find the number B. (use equation solution)
7. If the least common multiple of a and B is 210, what is their greatest common divisor?
8. (1 and 2 / 3 + 8 and 1 / 5) * x = 2 / 15 * 5 / 9
9. Civil service examination questions 3,8,17,32,57, () solved I don't need to know how to calculate. I just want to know if there is a standard answer to this kind of question. I don't want to say it first, but it can be said that there is a rule to follow, that is, there is no way in the options. I don't know how much your answer is. If you think that your most reasonable, you can get additional reward points through the problem-solving process Brothers, continue to give awesome to see how many 98 get 100 reward reward points. When appropriate, I will choose the right answer. I hope you will pay attention to this question.
10. -1 / 2,2 / 3,7 / 4,14 / 5,23 / 6... For general term formula Such as the title
11. Calculation of 19.5-1.9-2.9-3.9 by simple method
12. Solving cubic equation of one variable: 3x ^ 3 + x ^ 2 = 28
13. How about 1 / 3 + 1 / 15 + 1 / 35 + 1 / 63 + 1 / 99.1/323
14. If the values of the algebraic expressions 4x + 8 and 3x-7 are opposite to each other, then the value of X is equal to___ ．
15. (15 / 32 * 16 / 35 + 1 / 7) / 50% simple calculation!
16. Find the derivative, result and process of the third power + 1 of 2x,
17. When calculating the division with remainder, Xiao careless takes the divisor 126 as 158. The result quotient is larger than the correct result, but the remainder is exactly the same. Would you please write the correct division formula?
18. Is my favorite food right or wrong My hobbies are playing volleyball and tennis Is it right or wrong
19. English words about food and drink The more the better, at least ten, no limit! For example: Bread
20. English words of things I am writing a composition, there is a sentence I do not understand, "can learn a lot of things", this English word I can not, what is the translation of things?