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(4x-11)^6=25^3

(4x-11)^6=5^6

4x-11=5

4x=5+11

4x=16

x=16:4

x=4

HT

(x - 1)(x - 3) < 0

⇒ x - 1 > 0 và x - 3 < 0

Hoặc x - 1 < 0 và x - 3 > 0

TH1: x - 1 > 0 và x - 3 < 0

*) x - 1 > 0

x > 0 + 1

x > 1 (1)

*) x - 3 < 0

x < 0 + 3

x < 3 (2)

Từ (1) và (2) ⇒ 1 < x < 3

TH2: x - 1 < 0 và x - 3 > 0

*) x - 1 < 0

x < 1 (3)

*) x - 3 > 0

x > 3 (4)

Từ (3) và (4) ⇒ không tìm được x thỏa mãn trường hợp 2

Vậy 1 < x < 3 thì (x - 1)(x - 3) < 0

(x-1)(x-3)<0

=> x-1 > 0 và x - 3 < 0 ( Vì : x-1 > x-3 với mọi x )

=> x>1 và x < 3

=> 1<x<3

Lập bảng xét dấu ta có: 

Theo bảng trên ta có: 1 < \(x\) < 3

\(\dfrac{1}{5}\times x-\dfrac{2}{3}=\dfrac{1}{10}\times x+\dfrac{5}{6}\)

\(\dfrac{1}{5}x-\dfrac{2}{3}-\dfrac{1}{10}x-\dfrac{5}{6}=0\)

\(\dfrac{1}{5}x-\dfrac{1}{10}x-\dfrac{2}{3}-\dfrac{5}{6}=0\)

\(\dfrac{1}{10}x-\dfrac{3}{2}=0\)

\(\dfrac{1}{10}x=\dfrac{3}{2}\)

\(x=15\)

           \(\dfrac{1}{5}\).x - \(\dfrac{2}{3}\) = \(\dfrac{1}{10}\).x + \(\dfrac{5}{6}\)

⇒   \(\dfrac{1}{5}\).x - \(\dfrac{1}{10}\).x = \(\dfrac{5}{6}\) + \(\dfrac{2}{3}\)

⇒ \(\dfrac{2}{10}\).x - \(\dfrac{1}{10}\).x = \(\dfrac{5}{6}\) + \(\dfrac{4}{6}\)

⇒            \(\dfrac{1}{10}\).x = \(\dfrac{9}{6}\)

⇒                  x = \(\dfrac{9}{6}\) : \(\dfrac{1}{10}\)

⇒                  x = \(\dfrac{9}{6}\) . 10

⇒                  x = \(\dfrac{90}{6}\)

⇒                  x = 15

       Vậy x = 15

Bài II phần gạch chân là phần bn ấy bn

I.change to passive

1.People held the the music festival although the weather was bad yesterday

-> The music festival was hed although the weather was bad yesterday

II.Make question for the Italic part

1.My children like watching cartoon

-> What do your children like watching ?

1 Yesterday the plane took off earlier than I expected

2 My mother looks after us more carefully than my father

3 They cut the big cake into smaller parts than I thought

4 My sister even tells me off more often than my mother does

5 Who saw you off yesterday?

6 It is cold today so I put on more warm clothes than usual

7 Yesterday my mother picked my up later than usual

8 You are the pretties girl I have ever known

9 Unless you listen attentively to your teacher, you won't catch up with your friends

10 By far, "The Little Prince" has been my favorite book

39 be on time for your interview

40 tall is she

41 What is she like?

42 have you been in this city?

43 is the price of those books

44 How did she greet friends?

45 What did she walk to the station for