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a: \(\left(x-3\right)^2-\left(x-3\right)\left(3-x^2\right)=0\)

=>\(\left(x-3\right)\left(x-3-3+x^2\right)=0\)

=>\(\left(x-3\right)\left(x^2+x-6\right)=0\)

=>(x-3)(x+3)(x-2)=0

=>\(\left[\begin{array}{l}x-3=0\\ x+3=0\\ x-2=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=3\\ x=-3\\ x=2\end{array}\right.\)

b: \(4\left(x+1\right)^2+\left(2x-1\right)^2-8\left(x-1\right)\left(x+1\right)=11\)

=>\(4\left(x^2+2x+1\right)+4x^2-4x+1-8\left(x^2-1\right)=11\)

=>\(4x^2+8x+4+4x^2-4x+1-8x^2+8=11\)

=>4x+13=11

=>4x=-2

=>\(x=-\frac24=-\frac12\)

c: \(\left(x-3\right)^2-\left(x+3\right)\left(x-5\right)=3x+4\)

=>\(x^2-6x+9-\left(x^2-5x+3x-15\right)=3x+4\)

=>\(x^2-6x+9-\left(x^2-2x-15\right)=3x+4\)

=>\(x^2-6x+9-x^2+2x+15=3x+4\)

=>-4x+24=3x+4

=>-7x=-20

=>\(x=\frac{20}{7}\)

d: \(3\left(x-5\right)^2+2x\left(x-5\right)=0\)

=>\(\left(x-5\right)\left\lbrack3\left(x-5\right)+2x\right\rbrack=0\)

=>(x-5)(3x-15+2x)=0

=>(x-5)(5x-15)=0

=>5(x-5)(x-3)=0

=>(x-5)(x-3)=0

=>\(\left[\begin{array}{l}x-5=0\\ x-3=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=5\\ x=3\end{array}\right.\)

e: \(\left(2x-1\right)^2-\left(x+3\right)^2=0\)

=>(2x-1-x-3)(2x-1+x+3)=0

=>(x-4)(3x+2)=0

=>\(\left[\begin{array}{l}x-4=0\\ 3x+2=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=4\\ x=-\frac23\end{array}\right.\)

f: \(4\left(3x+2\right)\left(3x-2\right)-\left(6x+1\right)^2=7\)

=>\(4\left(9x^2-4\right)-36x^2-12x-1=7\)

=>\(36x^2-16-36x^2-12x-1=7\)

=>-12x-17=7

=>-12x=24

=>x=-2

g: \(3\left(2x-1\right)^2-6x\left(2x-3\right)=6\)

=>\(3\left(4x^2-4x+1\right)-6x\left(2x-3\right)=6\)

=>\(12x^2-12x+3-12x^2+18x=6\)

=>6x+3=6

=>6x=3

=>\(x=\frac36=\frac12\)

h: \(\left(2x+3\right)^2-4\left(x-1\right)^2=16\)

=>\(4x^2+12x+9-4\left(x^2-2x+1\right)=16\)

=>\(4x^2+12x+9-4x^2+8x-4=16\)

=>20x+5=16

=>20x=11

=>\(x=\frac{11}{20}\)

1 tháng 12 2021

Em chụp rộng ra , đề bài thiếu

1 tháng 12 2021

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24 tháng 5 2021

III. 

A. 

1. B

2. C

3. B

4. A

5. D

B. 

1. C

2. B

3. B

4. A

5. C

18 tháng 11 2021

1 b c b a d

2 c b b a c nha

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)

28 tháng 3 2021

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28 tháng 3 2021

Chụp rõ đề hơn đi bạn.

26 tháng 9 2021

a) \(\dfrac{A}{x-2}=\dfrac{x^2+3x+2}{x^2-4}\)

\(\Leftrightarrow\dfrac{A}{x-2}=\dfrac{\left(x+2\right)\left(x+1\right)}{\left(x-2\right)\left(x+2\right)}\)

\(\Leftrightarrow\dfrac{A}{x-2}=\dfrac{x+1}{x-2}\Leftrightarrow A=x+1\)

b) \(\dfrac{M}{x-1}=\dfrac{x^2+3x+2}{x+1}\)

\(\Leftrightarrow\dfrac{M}{x-1}=\dfrac{\left(x+1\right)\left(x+2\right)}{x+1}\)

\(\Leftrightarrow\dfrac{M}{x-1}=x+2\Leftrightarrow M=\left(x-1\right)\left(x+2\right)=x^2+x-2\)

4 tháng 8 2021

asked how much that computer was

wanted to know if I had the keys

asked Sam why he hadn't come to the party

asked Jane where she was going for her holidays

asked me if I spoke English

asked how old her mother was

asked me whether I was British or American

4 tháng 8 2021

1 Tom asked how much that computer was

2 The officer wanted to know if I had wanted the key

3 Ann asked Sam why he hadn't come to her party

4 He asked Jane where she was going for her holiday

5 He asked me if I spoke E

6 He asked how old her mother was 

7 He asked me whether I was British or American

2 tháng 1 2022

a) x(x + 4) - 3x - 12 = 0

x(x + 4) - 3(x + 4) = 0

(x + 4)(x - 3) = 0

x = -4 hoặc x = 3

b) 2x(x - 4) - x + 4 = 0

2x(x - 4) - (x - 4) = 0

(x - 4)(2x - 1) = 0

x = 4 hoặc x = 1/2

c) 5x(x - 3) - x + 3 = 0

5x(x - 3) - (x - 3) = 0

(x - 3)(5x - 1) = 0

x = 3 hoặc x = 1/5.

2 tháng 1 2022

a) x(x + 4) - 3x - 12 = 0

x(x + 4) - 3(x + 4) = 0

(x + 4)(x - 3) = 0

x = -4 hoặc x = 3

b) 2x(x - 4) - x + 4 = 0

2x(x - 4) - (x - 4) = 0

(x - 4)(2x - 1) = 0

x = 4 hoặc x = 1/2

c) 5x(x - 3) - x + 3 = 0

5x(x - 3) - (x - 3) = 0

(x - 3)(5x - 1) = 0

x = 3 hoặc x = 1/5.