Mog mn giúp vs ạ😭😭😭
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TN
0
4 tháng 1 2022
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
27 tháng 9 2021
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: \(\sqrt{5-2\sqrt{6}}=\sqrt{3}-\sqrt{2}\)
TG
5
DT
Đỗ Thanh Hải
CTVVIP
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
TA
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.
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.
KQ
1
\(\Delta'=4-\left(m+1\right)\ge0\Rightarrow m\le3\)
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)
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)