Предмет: Алгебра, автор: nikivanov00

помогите решить иррациональные уравнения пожалуйста

Приложения:

Ответы

Автор ответа: mymurkin
1
1) -2х+3√х+5=0
√х=у, у≥0
-2у²+3у+5=0
у1=-1 - посторонний корень
у2=5/2
√х=5/2
х=25/4

2)√2х+1=-5 - корней нет
3)√3х-7=√7-3х
3х-7=7-3х
6х=14
х=7/3

4)√6х=-4 корней нет
5)х+7√х+12=0
√х=у, у≥0
у²+7у+12=0
у1=-4 посторонний корень
у2=-3 посторонний корень
корней нет

nikivanov00: я там скинул сылку ещё реши пожалуйста
Автор ответа: crazypick
0
1. -2x+3 \sqrt{x} +5=0
2x-3 \sqrt{x} -5=02 \sqrt{ x} ^2-3 \sqrt{x}-5=0 <br /> \sqrt{x} =t t>0
2t^2-3t-5=0
t1=2.5 t2=-1 не подходит
 \sqrt{x} =2.5
x=6.25

2.корень не может равняться отрицательному числу=> нет решений

3.  \sqrt{3x-7} -  \sqrt{7-3x}=0
 \sqrt{3x-7} =  \sqrt{7-3x}
возводим в квадрат обе части
3х-7=7-3х
х=7/3 

4. 
корень не может равняться отрицательному числу, нет решений

5. x+7 \sqrt{x} +12=0
 \sqrt{x} ^2+7  \sqrt{x} +12=0
 \sqrt{x} =t t>0
t^2+7t+12=0
t1=-3 t2=-4
оба решения не удовлетворяют неравенство  \sqrt{x} =t
ответ. нет решений


Похожие вопросы
Предмет: Английский язык, автор: Schanka
Exercise 3. Phrasal verbs. Write one word in each gap.
It just takes hard work and commitment
Entrepreneur Jane Dickson describes how she got started
I was working as an IT Manager for a small publishing company (in fact, I was standing 1) _________ for the actual manager while she was away on maternity leave) when the company was taken 2) _________ by a large multinational media organisation. It was in the depths of the recession, and initially our new owners promised to see our small company 3) _________ the hard times. Things got worse, though, and they finally backed4) _________ of their agreement. Our company closed 5) _________ We were all made redundant-it was horrible!
I wasn't sure what I wanted to do next. I 6) _________ down several offers of work as I didn't want to rush into anything. Then, one day, I woke up and thought: 'I'm going to set 7) _________ my own business!' At first it was tough. I had to 8) _________ to everything myself - I was the only employee! - but I set 9) _________ it with dedication and refused to give up, whatever happened. Over the last five years, as the company's grown, I've taken 10) _________ more and more staff. Dickson's now employs over five hundred people! I set 11) _________ to be successful, and I've managed it. I feel very lucky, although, to be honest luck has nothing to do with it. It just takes hard work and commitment. I don't feel satisfied yet though. We're bringing 12) _________ new products all the time, and I want to continue doing that I also want to speed 13) _________ our production process to make it more efficient. I'm not planning to slow 14) _________ any time soon!
Предмет: Английский язык, автор: armstrong01
Предмет: Русский язык, автор: eonesets