Cho phương trình \(9^{x}-2 m \cdot 3^{x}+3 m+4=0\).
Phương trình có hai nghiệm phân biệt khi và chỉ khi
Hãy suy nghĩ và trả lời câu hỏi trước khi xem đáp án
Đặt \(3^{x}=t(t>0)\) khi đó phương trình trở thành \(t^{2}-2 m t+3 m+4=0\) (2).
Để phương trình đã cho có 2 nghiệm phân biệt thì (2) có 2 nghiệm dương phân biệt
\(\Leftrightarrow\left\{\begin{array}{l}\Delta^{\prime}=m^{2}-(3 m+4)>0 \\ 2 m>0 \\ 3 m+4>0\end{array} \Leftrightarrow m>4\right.\).
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Câu hỏi liên quan
Read the following passage about Traveling and mark the letter A, B, C or D on your answer sheet to indicate the best answer to each of the following questions from 23 to 30.
Traveling and exploring new places is an exciting way to experience different cultures and expand one’s horizons. Whether it’s a short trip to a neighbouring town or a long journey to a foreign country, stepping out into the world offers numerous benefits. It allows individuals to gain new perspectives, meet diverse people, and create lasting memories. Additionally, traveling can enhance personal growth and provide a sense of adventure and fulfillment.
One of the key advantages of traveling is the opportunity to learn about different cultures. By immersing oneself in a new environment, travellers can gain a deeper understanding of local customs, traditions, and lifestyles. This cultural exchange fosters mutual respect and appreciation among people from different backgrounds. Moreover, experiencing different cultures can challenge preconceptions and broaden one’s worldview.
Traveling also promotes personal development. Facing unfamiliar situations and overcoming challenges can boost confidence and adaptability. Travelers often find themselves navigating new cities, trying unfamiliar foods, and communicating in foreign languages. These experiences can enhance problem-solving skills and resilience. Furthermore, the sense of accomplishment from successfully managing a trip can lead to increased self-esteem and a greater sense of independence.
Another benefit of traveling is the chance to disconnect from the routine of everyday life. Exploring new places provides a break from the usual responsibilities and stresses. This can be refreshing and rejuvenating, allowing individuals to return home with a renewed sense of energy and perspective. Travel can also foster creativity by exposing individuals to new sights, sounds, and ideas.
Despite its benefits, traveling can also present challenges. Planning a trip requires time and effort, and unexpected situations can arise. However, these challenges can be viewed as opportunities for growth and learning. With careful planning and a positive mindset, the rewards of traveling far outweigh the difficulties.
In which paragraph does the writer discuss the personal development benefits of traveling?
Read the passage below and choose A, B, C or D to fill in each blank.
In Part Three of the Speaking Section you work together with a partner. You have to do a single task which usually lasts about 3 minutes. One possible task is “problem solving”, which means you have to look at some visual information and then discuss the problem with your partner. You may be shown photos, drawings, diagrams, maps, plans, advertisements or computer graphics and it is essential that everyone (631)___________ them carefully. If necessary, check you know exactly (632) ________________ the examiner to repeat the (633) __________ or make them clearer.
While you are doing the task, the examiner will probably say very little and you should ask your partner questions and (634) ___________ suggestions if he or she is not saying much. If either of you have any real difficulties, the examiner may decide to step in and help. Normally, however, you find plenty to say, which helps the assessor to give you a fair mark. (635) ____________in doing the task by competing with your partner, which includes taking turns in giving opinions and replying appropriately, although in the end it may be possible to “agree to disagree”.
Read the following leaflet and mark the letter A, B, C, or D on your answer sheet to indicate the option that best fits each of the numbered blanks from 7 to 12. (1,5 points)
HEALTHY EATING MADE EASY!
Eating well is essential for a balanced life. Here are some tips to get you started:
- Include plenty of fruits and vegetables in your diet. You can find (7) _____ options at your local market.
- When cooking, try to (8) _____ unhealthy fats and sugar. Use fresh ingredients instead!
- Remember to drink enough water, (9) _______ it is crucial for your health and helps keep you energized.
- If you feel hungry between meals, reach for (10) _____ snacks like nuts or yogurt instead of chips.
- It’s important to have moderate food (11) _____. Overeating can lead to health (12) ______.
- Lastly, enjoy your meals with family or friends to make eating a joyful experience.
Người ta vẽ hình chiếu trục đo của đường tròn nằm trên mặt phẳng song song với mặt tọa độ theo mấy bước?
Nguyên tử lithium có 3 proton và 4 neutron. Kí hiệu nguyên tử của nguyên tố này là
Cho tập hợp A=∅. Mệnh đề nào sau đây sai?
Hệ điều hành nào các chương trình phải được thực hiện lần lượt và chỉ 1 người được đăng nhập vào hệ thống?
Mệnh đề nào sau đây đúng?
Yếu tố nào sau đây không ảnh hưởng đến lượng cung hàng hóa, dịch vụ?
Điện trở đặc trưng cho?
Đặc điểm nào không đúng với nền kinh tế Liên bang Nga?
Phần lớn nước trên lục địa tập trung ở khu vực địa lí nào?
Thể chế chính trị của các quốc gia cổ đại Phương Đông là
Read the following passage about Stewart the Career Advisor Robot and mark the letter A, B, C, or D on your answer sheet to indicate the option that best fits each of the numbered blanks from 18 to 22.
Stewart is a smart robot that helps students find the right career. It was created to give career advice to students who are about to graduate. Stewart (18) ______. This modern robot uses advanced technology and a large amount of job information to guide students toward careers that match their skills and interests.
Stewart was developed by engineers and career experts from America (19) ______. With a sleek design and friendly personality, Stewart can analyze students’ strengths, school records, and personal preferences to give advice that matches student’s dream and skills. (20) ______.
One of Stewart’s special features is his ability to have flexible conversations and understand students’ concerns. With natural language processing, Stewart (21) ______. Also, Stewart gives updated information about job trends, salaries, and internship opportunities.
Many schools and universities now use Stewart in their career counseling programs. (22) ______ , making Stewart a valuable tool for students planning their careers.
Phần mềm chống virus Window Defender được tích hợp trên hệ điều hành nào bên dưới?
Cho \(A = ( - 2;5]\) và \(B = (m; + \infty )\). Tìm \(m \in \mathbb{Z}\) để \(A{\rm{\backslash }}B\) chứa đúng 5 số nguyên là:
Ban đầu, tác phẩm Chữ người tử tù có tên là?
Tracy: Do you want to try driving my car, to see how you like it?
Carly: Yeah, sure, ___________.
Khi cung nhỏ hơn cầu thì giá cả hàng hóa, dịch vụ trên thị trường sẽ thay đổi như thế nào?
Read the following passage about wildlife conservation and mark the letter A, B, C, or D on your answer sheet to indicate the best answer to each of the following questions from 31 to 40.
[I] Wildlife conservation refers to the efforts made to protect and preserve wild animal species and their habitats. [II] It is crucial for maintaining biodiversity, which plays a vital role in ecosystem stability and health (Smith & Jones, 2018). [III] Unfortunately, many species are threatened due to habitat destruction, poaching, and climate change, making conservation efforts more urgent than ever. [IV]
One of the primary reasons for wildlife conservation is the preservation of biodiversity. A diverse range of species contributes to ecosystem services, such as pollination, water purification, and climate regulation. The loss of a single species can disrupt these services and lead to ecological imbalances. For instance, the decline of pollinators like bees has serious implications for food production and agriculture (Global Biodiversity Outlook, 2020).
Moreover, wildlife conservation has significant economic benefits. Many communities depend on ecotourism, which relies on healthy wildlife populations and intact ecosystems. According to a study by the World Wildlife Fund (WWF), ecotourism can generate billions of dollars in revenue, providing jobs and supporting local economies (WWF, 2021). Protecting wildlife not only safeguards natural resources but also creates sustainable livelihoods for local populations.
However, effective wildlife conservation requires a collaborative approach. Governments, non-governmental organizations, and local communities must work together to implement policies and strategies that promote conservation efforts. Community-based conservation initiatives, where local people actively participate in protecting their natural resources, have shown promising results. These initiatives empower communities and ensure that conservation efforts are tailored to local needs and contexts (Bennett & Dearden, 2014).
The word "their" in paragraph 1 refers to ____.