x = 2 bạn nha

\(\left(x-1\right)^{x+2}=\left(x-1\right)^{x+4}\)

\(\left(x-1\right)^{x+2}-\left(x-1\right)^{x+4}=0\)

\(\left(x-1\right)^{x+2}\cdot1-\left(x-1\right)^{x+2}\cdot\left(x-1\right)^2=0\)

\(\left(x-1\right)^{x+2}\cdot\left[1-\left(x-1\right)^2\right]\)

\(\Rightarrow\orbr{\begin{cases}\left(x-1\right)^{x+2}=0\\1-\left(x-1\right)^2=0\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x-1=0\\\left(x-1\right)^2=1=\left(\pm1\right)^2\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=1\\x=\left\{2;0\right\}\end{cases}}\)

Vậy.....

(x-1)^x+2 = (x-1)^x+4

=> (x-1)^x+2 - (x-1)^x+4 = 0

=> (x-1)^x+2. [ 1 - (x-1)² ] = 0

TH1: (x-1)^x+2 = 0

=> x - 1 = 0 => x  = 1

TH2: 1 - (x-1)² = 0 

=> (x-1)² = 1

=> x = 2 hoặc x = 0

KL: x = {0;1;2}

thanks nha <3

a) Ư(6) = {1;2;3;6}

Ta lập được bảng sau:

Vậy x = {2;3;4;7}

b) Ư(14)={1;2;7;14}

Ta lập được bảng sau:

Vậy x = { 2;5}

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Around the world there are many cuisine but I still like spaghetti the most. The main ingredients to make spaghetti are noodles, beef and tomatoes. Besides, we can add onion, carrot, bean or other kind of vegetable. At weekends, my mother and I usually go to the market, buy goods and cook spaghetti for my family instead of traditional dishes. It’s easy to cook this food. All we have to do are boiling noodles, chopping beef and making a good sauce of tomatoes. There is a tip for a perfect sauce is adding a slice of lemon into it. If there is a need of vegetable, It can be served with carrot and peas. Spaghetti supplies high nutrients and several vitamins, which good for your health especially for diet people. Moreover, spaghetti is famous for its delicious taste and convenience as fast food. It’s known as typical traditional food of Italy. Although spaghetti originate from Europe, it’s more widespread in Asia specifically Vietnam. Nowadays, It is popular food not only in Italy but also in other countries.

Đề bạn sai nhé, phải là \(2x^3-3x^2+x+a\) chia hết cho \(x+2\)

Bài làm

               Bài làm :

Bài 1 :

\(1\text{)}x-\frac{1}{5}=\frac{3}{10}+\frac{1}{3}\Leftrightarrow x-\frac{1}{5}=\frac{19}{30}\Leftrightarrow x=\frac{19}{30}+\frac{1}{5}=\frac{5}{6}\)

\(2\text{)}\frac{28}{5}-x=\frac{1}{2}+\frac{1}{3}+\frac{1}{5}+\frac{1}{6}\Leftrightarrow\frac{28}{5}-x=\frac{6}{5}\Leftrightarrow x=\frac{28}{5}-\frac{6}{5}=\frac{22}{5}\)

Bài 2 :

Sửa đề bài : Tổng cả tử và mẫu là 2015 ...

Tổng số phần bằng nhau là :

2+3=5(Phần)

Vì phân số tối giản là 2/3 => Tử số bé hơn mẫu số

Tử số là :

2015/5x2=806

Mẫu số là :

2015-806=1209

Vậy phân số cần tìm là : 806/1209

\(x-\frac{1}{5}=\frac{3}{10}+\frac{1}{3}\)

\(\frac{5x}{5}-\frac{1}{5}=\frac{9}{30}+\frac{10}{30}\)

\(\frac{5x-1}{5}=\frac{19}{30}\)

\(\Leftrightarrow30.\left(5x-1\right)=19.5\)

\(\Leftrightarrow150x-30=95\)

\(\Leftrightarrow150x=95+30\)

\(\Leftrightarrow150x=125\)

\(\Leftrightarrow x=\frac{125}{150}=\frac{5}{6}\)

Vậy \(x=\frac{5}{6}\)

Phần b tương tự phần a

2

+)Tổng của tử và mẫu của phân số sau khi rút gọn là:

2+3=5

2015 gấp số lần 5 là:

2015:5=403(lần)

Hay phân số đã rút gọn cả tử và mẫu vs 403

Tử ban đầu là:

2.403=806

Mẫu ban đầu là:

3.403=1209

Vậy phân số ban đầu là \(\frac{806}{1209}\)

Chúc bạn học tốt