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NV
25 tháng 3 2022

a.

Với \(m=3\) pt trở thành: \(2x^2+5x+2=0\)

\(\Delta=5^2-4.2.2=9>0\) nên pt có 2 nghiệm phân biệt:

\(x_1=\dfrac{-5+\sqrt{9}}{2.2}=-\dfrac{1}{2}\)

\(x_2=\dfrac{-5-\sqrt{9}}{2.2}=-2\)

b.

\(\Delta=\left(2m-1\right)^2-8\left(m-1\right)=4m^2-12m+9=\left(2m-3\right)^2\ge0;\forall m\)

Phương trình luôn có 2 nghiệm với mọi m

Theo hệ thức Viet: \(\left\{{}\begin{matrix}x_1+x_2=-\dfrac{2m-1}{2}\\x_1x_2=\dfrac{m-1}{2}\end{matrix}\right.\)

\(4x_1^2+2x_1x_2+4x_2^2=1\)

\(\Leftrightarrow4\left(x_1^2+2x_1x_2+x_2^2\right)-6x_1x_2=1\)

\(\Leftrightarrow4\left(x_1+x_2\right)^2-6x_1x_2=1\)

\(\Leftrightarrow\left(2m-1\right)^2-3\left(m-1\right)=1\)

\(\Leftrightarrow4m^2-7m+3=0\Rightarrow\left[{}\begin{matrix}m=1\\m=\dfrac{3}{4}\end{matrix}\right.\)

5 tháng 2 2022

\(b,\dfrac{\sqrt{12}-\sqrt{6}}{\sqrt{30}-\sqrt{15}}=\dfrac{\sqrt{6}\left(\sqrt{2}-1\right)}{\sqrt{15}\left(\sqrt{2}-1\right)}=\dfrac{\sqrt{6}}{\sqrt{15}}=\dfrac{\sqrt{2}}{\sqrt{5}}\)

\(d,\dfrac{ab-bc}{\sqrt{ab}-\sqrt{bc}}=\dfrac{\left(\sqrt{ab}-\sqrt{bc}\right)\left(\sqrt{ab}+\sqrt{bc}\right)}{\left(\sqrt{ab}-\sqrt{bc}\right)}=\sqrt{ab}+\sqrt{bc}=\sqrt{b}\left(\sqrt{a}+\sqrt{c}\right)\)

\(e,\left(a\sqrt{\dfrac{a}{b}+2\sqrt{ab}}+b\sqrt{\dfrac{a}{b}}\right)\sqrt{ab}\)

\(=a\left(\sqrt{\dfrac{a}{b}+\dfrac{2b.\sqrt{ab}}{b}}+b\sqrt{\dfrac{a}{b}}\right)\sqrt{ab}\)

\(=a\sqrt{a}\sqrt{a+2b\sqrt{ab}}+b\sqrt{a^2}\)

\(=a\sqrt{a^2+2ab\sqrt{ab}}+ab\)

\(=a\left(\sqrt{a^2+2ab\sqrt{ab}}+b\right)\)

\(f,\left(\dfrac{1-a\sqrt{a}}{1-\sqrt{a}}+\sqrt{a}\right)\left(\dfrac{1+a\sqrt{a}}{1+\sqrt{a}}-\sqrt{a}\right)\)

\(=\left(a+\sqrt{a}+1+\sqrt{a}\right)\left(a-\sqrt{a}+1-\sqrt{a}\right)\)

\(=\left(a+2\sqrt{a}+1\right)\left(a-2\sqrt{a}+1\right)\)

\(=\left(\sqrt{a}+1\right)^2\left(\sqrt{a}-1\right)^2\)

\(=\left(a-1\right)^2=a^2-2a+1\)

15 tháng 5 2022

Số đối của `1/3` là: `[-1]/3`

Số đối của `5/[-8]` là: `5/8`

Số đối của `-2023` là: `2023`

Số đối của  `1,8` là: `-1,8`

-1/3; 5/8; 2023; -1,8

26 tháng 12 2021

câu hỏi đâu bn ?

5 tháng 5 2022

bài đâu bn

15 tháng 4 2021

1 Japanese is too difficult for me to learn

2 If he felt well, he wouldn't go to bed early

3 I wish I hadn't gone out in the rain

4 They had me carry te box upstairs

5 Your sister is too young to enjoy this film

6 THey had this letter posted by me

7 The morning was too cold for them to go out

8 If the tickets were cheap enough, we would go there

9 The pupils collected these old clothes

10 The coffee is so excellent so I can drink it

15 tháng 4 2021

11 Her house was sold 2 years ago

12 Some tickets was bought there by him

13 Waste paper was recycled to save money and labour

14 The TV set was so heavy that the girl couldn't move it

15 I will have someone type the report for you

16 There was so much fog that the driver couldn't see far

17 THe day was fine enoigh for them to enjoy sunbathing on the beach

18 I wish your were here now

19 Susan offeref me to lend her some money

20 They asked me is I could fill in the form

3:

a:Các tia trên hình là Ax,Ay,Bx,By,Cx,Cy

=>Có 6 tia

b: AB<AC

=>B nằm giữa A và C

=>AB+BC=AC

=>BC=4cm

c: AI=3/2=1,5cm

CI=7-1,5=5,5cm

24 tháng 5 2021

II

1 B

2 A

3 A

4 D

5 B

6 B

7 A

8 D

9 D

10 D

25 tháng 5 2021

1 B

2 C

3 A

4 D

5 D

6 B

7 D

8 C

9 A

10 B

24 tháng 5 2021

1 The meeting was canceled 3 days ago

2 She told me she was watching a film with her sister then

3 I admire the guitarist who is perfroming on the stage

4 Had it not been for Pauline's interest, the project would have been abandoned 

24 tháng 5 2021

IV. 

1. The meeting was canceled 3 days ago.

2. She told me shewas watching a film with her sister then

3. I admire the guitarist who is performing on the stage

4. Had it not been for Pauline's interest, the project was abandoned. (chắc thế)