\(7^{2x}+7^{2x+3}=344\\\Rightarrow7^{2x}+7^{2x}\cdot7^3=344\\\Rightarrow7^{2x}\cdot(1+7^3)=344\\\Rightarrow7^{2x}\cdot(1+343)=344\\\Rightarrow7^{2x}\cdot344=344\\\Rightarrow7^{2x}=1\\\Rightarrow2x=0\\\Rightarrow x=0\)

Lời giải:

a. Diện tích căn phòng:
$5\times 3=15$ (m²)

b. Diện tích 4 bức tường và trần nhà:

$5\times 3+2\times 7\times (5+3)=127$ (m²)

Diện tích cần sơn: $127-9=118$ (m²)

Diện tích cần sơn 4 bức tường là: $118-15=103$ (m²)

Số tiền sơn 4 bức tường: $103\times 20000=2060000$ (đồng)

- \(\dfrac{7}{4}\) : \(\dfrac{13}{5}\) - \(\dfrac{7}{4}\) x \(\dfrac{8}{13}\)

= - \(\dfrac{7}{4}\) x \(\dfrac{5}{13}\) - \(\dfrac{7}{4}\) x \(\dfrac{8}{13}\)

= - \(\dfrac{7}{4}\) x (\(\dfrac{5}{13}\) + \(\dfrac{8}{13}\))

= - \(\dfrac{7}{4}\) x 1

= - \(\dfrac{7}{4}\)

(x - 0,1)⁶ = (x - 0,1)⁴

(x - 0,1)⁶ - (x - 0,1)⁴ = 0

(x - 0,1)⁴.[(x - 0,1)² - 1] = 0

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

*) (x - 0,1)⁴ = 0

x - 0,1 = 0

x = 0,1

*) (x - 0,1)² - 1= 0

(x - 0,1)² = 1

x - 0,1 = 1 hoặc x - 0,1 = -1

**) x - 0,1 = 1

x = 1 + 0,1

x = 1,1

*) x - 0,1 = -1

x = -1 + 0,1

x = -0,9

Vậy x = -0,9; x = 0,1; x = 1,1

Lời giải:
\(\frac{-3}{14}+\frac{-12}{25}.\frac{-3}{14}+(\frac{-3}{14})^1\\ =\frac{-3}{14}+\frac{-12}{25}.\frac{-3}{14}+\frac{-3}{14}\\ =\frac{-3}{14}(1+\frac{-12}{25}+1)=\frac{-3}{14}.\frac{38}{25}=\frac{-57}{175}\)

Lời giải:

Xét tứ giác ABCD có:

$\widehat{ADC}+\widehat{BAD}+\widehat{ABC}+\widehat{BCD}=360^0$

$\Rightarrow 85^0+\widehat{BAD}+90^0+90^0=360^0$
$\Rightarrow \widehat{BAD}=95^0$

Lời giải:
$M=\frac{2022x-2021}{3x+2}=\frac{674(3x+2)-3369}{3x+2}$

$=674-\frac{3369}{3x+2}$

Để $M$ nhỏ nhất thì $\frac{3369}{3x+2}$ lớn nhất

Điều này xảy ra khi $3x+2$ là số nguyên dương nhỏ nhất.

Với $x$ nguyên thì $3x+2$ là số nguyên dương nhỏ nhất khi $3x+2=2$

$\Leftrightarrow x=0$

There are many hobbies that you can have a choice for reduce stress or entertain yourself, but some of them are not like that, they are very dangerous to do... Some unsafe game, activities included in this list are: parachute, climb to a very tall buildings, or playing ghost houses... They are dangerous because it can cause many health problems like: injuried, depression, or even die. Another reason for why hobbies and interests are dangerous, that if you dont do anything dangerous, it still dangerous if you do it wrong. Like: Doing your hobbies to much, and you can't concentrate to other activites; Doing hobbies in a wrong way make it not in the right way... From all of these words, i just want to say: 'You can do anything you want, but you need to do that safe and correctly for better result or relaxing after a long day of working or studying'