x+√(2-x^2 )+x√(2-x^2 )=3
K
Khách
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
SV
Sinh Viên NEU
CTVVIP
23 tháng 1
1 This is the journalist whose article I read yesterday
2 That is the translator who works for an international communication agency
3 The email which I sent to you this morning is important
4 The book which was recommended by our teacher is about effective communication skills
5 The woman whose speech inspired the entire audience is a famous public speaker
6 The message which you wrote last night was unclear
SV
Sinh Viên NEU
CTVVIP
23 tháng 1
7 The website which I found while searching for communication tools is a great resource for learning
8 The man whom you saw at the conference is a professional interpreter
9 These are the students whose presentation on nonverbal communication was excellent
10 This is the phone whose features help people with disabilities communicate easily
11 This is a rare opportunity of which you should take advantage to get a better job
12 The boy of whom you made fun of is my cousin
ĐKXĐ: \(2-x^2\ge0\)
=>\(x^2\le2\)
=>\(-\sqrt2\le x\le\sqrt2\)
Ta có: \(x+\sqrt{2-x^2}+x\cdot\sqrt{2-x^2}=3\)
=>\(x-1+\sqrt{2-x^2}-1+\sqrt{2x^2-x^4}-1=0\)
=>\(\left(x-1\right)+\frac{2-x^2-1}{\sqrt{2-x^2+1}}+\frac{2x^2-x^4-1}{\sqrt{2-x^2}\cdot x+1}=0\)
=>\(\left(x-1\right)-\frac{\left(x-1\right)\left(x+1\right)}{\sqrt{2-x^2}+1}-\frac{\left(x-1\right)^2\cdot\left(x+1\right)^2}{\sqrt{2-x^2}\cdot x+1}=0\)
=>\(\left(x-1\right)\left(1-\frac{x+1}{\sqrt{2-x^2}+1}-\frac{\left(x+1\right)^2\cdot\left(x-1\right)}{\sqrt{2-x^2}\cdot x+1}\right)=0\)
=>x-1=0
=>x=1