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NV
7 tháng 2 2022

\(\Delta'=4-\left(m+1\right)\ge0\Rightarrow m\le3\)

Theo hệ thức Viet: \(\left\{{}\begin{matrix}x_1+x_2=4\\x_1x_2=m+1\end{matrix}\right.\)

\(x_1^2+x_2^2=5\left(x_1+x_2\right)\)

\(\Leftrightarrow\left(x_1+x_2\right)^2-2x_1x_2=5\left(x_1+x_2\right)\)

\(\Leftrightarrow16-2\left(m+1\right)=20\)

\(\Leftrightarrow m=-3\) (thỏa mãn)

7 tháng 2 2022

a. Ta có: \(x^2-4x+m+1=0\)

Thay m=2 ta được: \(x^2-4x+2+1=0\Leftrightarrow x^2-4x+3=0\Leftrightarrow\left[{}\begin{matrix}x=3\\x=1\end{matrix}\right.\)

b. Để phương trình có 2 nghiệm phân biệt thì \(\Delta=\left(-4\right)^2-4.1.\left(m+1\right)>0\)

\(\Leftrightarrow16-4\left(m+1\right)>0\Leftrightarrow16>4\left(m+1\right)\Leftrightarrow4>m+1\Leftrightarrow m< 3\)

Áp dụng định lí Vi-et ta có: \(\left\{{}\begin{matrix}x_1+x_2=4\\x_1x_2=m+1\end{matrix}\right.\)

Theo đề ta có: \(x_1^2+x_2^2=5\left(x_1+x_2\right)\)

\(\Leftrightarrow\left(x_1+x_2\right)^2-2x_1x_2=5\left(x_1+x_2\right)\)

\(\Leftrightarrow\left(4\right)^2-2\left(m+1\right)=5.4\)

\(\Leftrightarrow16-2m-2=20\Leftrightarrow m=-3\) (TM)

 

a: \(A=x^2-40x+400+5=\left(x-20\right)^2+5\ge5\forall x\)

Dấu '=' xảy ra khi x=20

b: \(=-\left(x^2+30x+255\right)=-\left(x+15\right)^2-30\le-30\forall x\)

Dấu '=' xảy ra khi x=-15

b: \(\sqrt{8-2\sqrt{15}}-\sqrt{5}\)

\(=\sqrt{5}-\sqrt{3}-\sqrt{5}\)

\(=-\sqrt{3}\)

c: \(\sqrt{11-6\sqrt{2}}=3-\sqrt{2}\)

d: \(\sqrt{5-2\sqrt{6}}=\sqrt{3}-\sqrt{2}\)

4 tháng 6 2021

I

1 works - will pass

2 had - would buy

3 come - will phone

4 will feel - don't give

5 closed

6 goes - will be

7 will know - don't reveal

8 have 

9 won

10 will stop

II

1 if I wanted to dance

2 when I had come

3 if John had arrived

4 where Maria parked her car

5 If I had watched the latest film

6 if she could help me

7 they had cleaned the windows

8 he hadn't had time to do his homework

9 her mother would be 50 years old

10 the boss had to sign the letter

4 tháng 6 2021

Phần trên mình làm ở câu hỏi trước của bạn rồi nhớ.
III.
1. doesn't never drink -> never drinks
2. dressing -> dressed
3. Yes -> No
4. are -> will
5. nine -> ninth
6. Who -> How
7. tooth -> teeth
8. many -> much
9. do -> does
10. at -> in
V.
1. worse
2. as good as
3. wider
4. bigger
5. harder
6. tougher
7. fewer
8. narrower
9. the fastest
10. happier
D.
I.
1. A
2. B
3. D
4. D
5. B
II.
1. It is 3 years since we last went to Spain.
2. We have arrived in Budapest for 2 days.
3. This is the second time I have visited the Stone Forest.
4. Dung is keen on travelling.
5. If you don't turn off all the lights, you will pay more money.

11 tháng 3 2022

bn đang thi thì tự lm nhé, kể cả KT hay là Thi thử

11 tháng 3 2022

thi tự lm nhé

21 tháng 2 2022

1. Yes,it is.

2. They watch TV about 5 hours (35(hours Americans watch TV for a week):7)

3. Because they think that there is a lot of violence on TV today, the programs are terrible and people don't get any exercise because they only sit and watch TV.

4. It brings news from around the world.

5. We learn many useful things.

1 tháng 5 2021

2 A

3 A

4 C

5 A

6 D

7 A

8 B

9 C

10 A

2 tháng 5 2021

Thanks 😍😍😍

28 tháng 2 2022

A C C B C A B A A B 

Are running

Flies

28 tháng 2 2022

A - C - C - B - C - A - B - A - A - B

are running - flies