Bài 4: 

Nhóm 1: x;1/3x; 8x

Nhóm 2: \(x^2;5x^2;-3x^2\)

chép đề là sao?

ghi lại đề thì b tự lm dc mà

Câu 2: 

Ta có: \(x^2-2\left(m+1\right)x+m^2+4=0\)

a=1; b=-2m-2; \(c=m^2+4\)

\(\text{Δ}=b^2-4ac\)

\(=\left(-2m-2\right)^2-4\cdot\left(m^2+4\right)\)

\(=4m^2+8m+4-4m^2-16\)

=8m-12

Để phương trình có hai nghiệm phân biệt thì Δ>0

\(\Leftrightarrow8m>12\)

hay \(m>\dfrac{3}{2}\)

Áp dụng hệ thức Vi-et, ta được:

\(\left\{{}\begin{matrix}x_1+x_2=2\left(m+1\right)=2m+2\\x_1x_2=m^2+4\end{matrix}\right.\)

Vì x1 là nghiệm của phương trình nên ta có: 

\(x_1^2-2\left(m+1\right)\cdot x_1+m^2+4=0\)

\(\Leftrightarrow x_1^2=2\left(m+1\right)x_1-m^2-4\)

Ta có: \(x_1^2+2\left(m+1\right)x_2=2m^2+20\)

\(\Leftrightarrow2\left(m+1\right)x_1-m^2-4+2\left(m+1\right)x_2-2m^2-20=0\)

\(\Leftrightarrow2\left(m+1\right)\left(x_1+x_2\right)-3m^2-24=0\)

\(\Leftrightarrow2\left(m+1\right)\cdot\left(2m+2\right)-3m^2-24=0\)

\(\Leftrightarrow4m^2+8m+4-3m^2-24=0\)

\(\Leftrightarrow m^2+8m-20=0\)

Đến đây bạn tự tìm m là xong rồi

Viết lại câu:

6 A

7 A

8 D

9 B

10 C

11 D 

12 A

13 B

14 D

15 A

Lỗi sai

1 C => which

2 C => stopped

3 A => bored

4 B => most

5 B => had stopped

6 C => that

7 C => had knowm

8 A => hadn't been

9 D => learned about

10 B => bỏ

11 B => have come

12 A => would have gone

13 C => would have returned

14 C => knew

6.a

7.a

8.d

9.b

10.c

11.d

12.a

13.b

14.d

15.a

Bài chọn lỗi sai

1.c =>which

2.c => stopped

3.a =>bored

4.b => most

5.b =>had stopped

6.c =>that

7.c => had known

8.a => hadn't been late

9.d => learned about

10.b => rỗng

11.b => would have come

12.a => would have gone

13.c => would have returned

14.c => knew

z4:

\(\dfrac{24}{148}=\dfrac{6}{37}=\dfrac{108}{37\cdot18}\)

\(\dfrac{-14}{-36}=\dfrac{7}{18}=\dfrac{7\cdot37}{18\cdot37}=\dfrac{259}{37\cdot18}\)

mà 108<259

nên \(\dfrac{24}{148}< \dfrac{-14}{-36}\)

z5: \(\dfrac{-26}{-72}=\dfrac{26}{72}< 1\)

\(1< \dfrac{45}{20}=\dfrac{-45}{-20}\)

Do đó: \(\dfrac{-26}{-72}< \dfrac{-45}{-20}\)

z6: \(\dfrac{14}{42}=\dfrac{1}{3}=\dfrac{1\cdot4}{3\cdot4}=\dfrac{4}{12}\)

\(\dfrac{21}{28}=\dfrac{3}{4}=\dfrac{3\cdot3}{4\cdot3}=\dfrac{9}{12}\)

mà 4<9

nên \(\dfrac{14}{42}< \dfrac{21}{28}\)

z7: \(\dfrac{-14}{-56}=\dfrac{1}{4}=\dfrac{5}{20}\)

\(\dfrac{21}{35}=\dfrac{3}{5}=\dfrac{3\cdot4}{5\cdot4}=\dfrac{12}{20}\)

mà 5<12

nên \(\dfrac{-14}{-56}< \dfrac{21}{35}\)

z8: \(10A=\dfrac{10^{201}+10}{10^{201}+1}=1+\dfrac{9}{10^{201}+1}\)

\(10B=\dfrac{10^{202}+10}{10^{202}+1}=1+\dfrac{9}{10^{202}+1}\)

\(10^{201}+1< 10^{202}+1\)

=>\(\dfrac{9}{10^{201}+1}>\dfrac{9}{10^{202}+1}\)

=>\(\dfrac{9}{10^{201}+1}+1>\dfrac{9}{10^{202}+1}+1\)

=>10A>10B

=>A>B

\(b,7+3x=3\)

\(\Leftrightarrow3x=-4\)

\(\Leftrightarrow x=-\dfrac{4}{3}\)

\(c,6y+2=20\)

\(\Leftrightarrow6y=18\)

\(\Leftrightarrow y=3\)

\(d,4y=10\)

\(\Leftrightarrow y=\dfrac{10}{4}\)

\(\Leftrightarrow y=\dfrac{5}{2}\)

\(e,5x-7=13\)

\(\Leftrightarrow5x=20\)

\(\Leftrightarrow x=4\)

\(f,\dfrac{4}{3}x+\dfrac{7}{2}=10\)

\(\Leftrightarrow\dfrac{4}{3}x=\dfrac{13}{2}\)

\(\Leftrightarrow x=\dfrac{39}{8}\)

\(g,4-\dfrac{2}{3}y=2\)

\(\Leftrightarrow\dfrac{2}{3}y=2\)

\(\Leftrightarrow y=3\)

\(h,6x=36\Leftrightarrow x=6\)

\(j,7x-3=0\)

\(\Leftrightarrow7x=3\)

\(\Leftrightarrow x=\dfrac{3}{7}\)

1 C

2 C

3 C

4 C

5 A

6 B

7 A

11 

12 B

13 A

14 C

15D

4. B

5. A

6. C

7. C

8. B

9. B

10. A

11. C

12. 

13. A

14. 

15. C