Ta có:

$|x^2-1|+(y^2-3)^2=2$

Vì $|x^2-1|\ge0$ và $(y^2-3)^2\ge0$ nên:

$(y^2-3)^2\le2$

Mà $(y^2-3)^2$ là số chính phương nguyên nên:

$(y^2-3)^2=0$ hoặc $1$

Trường hợp $(y^2-3)^2=0$:

$y^2-3=0$

$\Rightarrow y^2=3$

$\Rightarrow$ vô nghiệm nguyên.

Trường hợp $(y^2-3)^2=1$:

$y^2-3=\pm1$

$y^2=4$ hoặc $2$

$\Rightarrow y=\pm2$.

Khi đó:

$|x^2-1|+1=2$

$|x^2-1|=1$

$x^2-1=\pm1$

$x^2=0$ hoặc $2$

$\Rightarrow x=0$.

Vì $y<10$ nên cả $y=2,-2$ đều thỏa mãn.

Vậy các cặp số nguyên là:

$\boxed{(0,2),\ (0,-2)}$.

Nhưng: $|7-1|=|6|=6$

Nên $|x+3|+|x+y-6|+6=0$

Mà: $|x+3|\ge0,\quad |x+y-6|\ge0$

$\Rightarrow |x+3|+|x+y-6|+6\ge6>0$

Vậy phương trình vô nghiệm.

$|x+3|=0$

$\Rightarrow x+3=0$

$\Rightarrow x=-3$

$|2x+y-4|=0$

$\Rightarrow 2x+y-4=0$

$\Rightarrow 2(-3)+y-4=0$

$\Rightarrow y=10$

Bạn gõ latex ra hoặc ghi ra giấy chụp lại mọi người dễ giúp bạn hơn nha

Điều kiện:

$\dfrac92x\ge0\Rightarrow x\ge0$

Mà $x\ge0$ nên:

$x+\dfrac13>0,\quad x+\dfrac43>0$

Do đó:

$\left|x+\dfrac13\right|=x+\dfrac13$

$\left|x+\dfrac43\right|=x+\dfrac43$

Suy ra:

$x+\dfrac13+x+\dfrac43=\dfrac92x$

$2x+\dfrac53=\dfrac92x$

$\dfrac53=\dfrac52x$

$x=\dfrac23$

Vậy:

$\boxed{x=\dfrac23}$

Điều kiện:

$x+7\ge0\Rightarrow x\ge-7$

TH1: $5x-3\ge0\Rightarrow x\ge\dfrac35$

$5x-3=x+7$

$4x=10$

$x=\dfrac52$

TH2: $5x-3<0\Rightarrow x<\dfrac35$

$-(5x-3)=x+7$

$-5x+3=x+7$

$-6x=4$

$x=-\dfrac23$

Vậy:

$\boxed{x\in\left{-\dfrac23;\dfrac52\right}}$

Me: What are you doing on Friday evening?

Friend: I don't have any plans.

Me: Do you want to go to the movies?

Friend: I'd love to. What's showing?

Me: "Horror Night".

Friend: Cool! What time does it start?

Me: It starts at 7:45 p.m.

Friend: Awesome! See you on Friday.

Me: What are you doing on Saturday morning?

Friend: I’m free.

Me: Would you like to go to the movies with me?

Friend: Sounds good. What movie do you want to watch?

Me: How about "The Forest Book"?

Friend: What time is it on?

Me: It's at 10 a.m.

Friend: OK, let's meet at the cinema at 9:45.

Me: What are you doing on Sunday afternoon?

Friend: I’m not doing anything. / Nothing much.

Me: Do you want to see a movie with me?

Friend: Sure. What movie is it?

Me: It's "The Journey to Mars".

Friend: What time does it start?

Me: It starts at 4 p.m.

Friend: Great! See you then.

b

1 How many types of energy sources are mentioned in the text? What are they?
$\rightarrow$ Two types of energy sources are mentioned. They are renewable and non-renewable energy sources. (hoặc kể tên cụ thể: fossil fuels/coal/oil, hydro power, nuclear power, wind power, solar power)

2 What are the disadvantages of hydro and nuclear power?
$\rightarrow$ Hydro power is expensive to build dams, and nuclear power can be very dangerous.

3 Why do you think the wind and the sun are called alternative sources of energy?
$\rightarrow$ Because they are clean, renewable, and can be used instead of non-renewable sources (fossil fuels).

4 What types of energy does Viet Nam use most?
$\rightarrow$ Viet Nam uses hydro power and fossil fuels (coal, gas, oil) most.

5 What does the professor think Viet Nam will use more in the future?
$\rightarrow$ He thinks Viet Nam will use more renewable energy sources like solar and wind power in the future.