có [x-y]2=1

suy ra [x-y]mũ 2= 1 mũ 2

suy ra x-1=1

x=1+1

x=2

x = 2 nha bạn

đáp án :
(x-1)²= 1
(x-1)² = 1²

x-1=1
x= 1+1
x=2 
vậy x = 2

12.

\(y=\sqrt{2}sin\left(2x+\dfrac{\pi}{4}\right)\le\sqrt[]{2}\)

\(\Rightarrow M=\sqrt{2}\)

13.

Pt có nghiệm khi:

\(5^2+m^2\ge\left(m+1\right)^2\)

\(\Leftrightarrow2m\le24\)

\(\Rightarrow m\le12\)

14.

\(\Leftrightarrow\left[{}\begin{matrix}cosx=1\\cosx=-\dfrac{5}{3}\left(loại\right)\end{matrix}\right.\)

\(\Leftrightarrow x=k2\pi\)

15.

\(\Leftrightarrow\left[{}\begin{matrix}tanx=-1\\tanx=3\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=-\dfrac{\pi}{4}+k\pi\\x=arctan\left(3\right)+k\pi\end{matrix}\right.\)

Đáp án A

16.

\(\dfrac{\sqrt{3}}{2}sinx-\dfrac{1}{2}cosx=\dfrac{1}{2}\)

\(\Leftrightarrow sin\left(x-\dfrac{\pi}{6}\right)=\dfrac{1}{2}\)

\(\Leftrightarrow\left[{}\begin{matrix}x-\dfrac{\pi}{6}=\dfrac{\pi}{6}+k2\pi\\x-\dfrac{\pi}{6}=\dfrac{5\pi}{6}+k2\pi\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{\pi}{3}+k2\pi\\x=\pi+k2\pi\end{matrix}\right.\)

\(\left[{}\begin{matrix}2\pi\le\dfrac{\pi}{3}+k2\pi\le2018\pi\\2\pi\le\pi+k2\pi\le2018\pi\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}1\le k\le1008\\1\le k\le1008\end{matrix}\right.\)

Có \(1008+1008=2016\) nghiệm

Đề ko rõ ràng \(\sqrt{x^2}+x+\dfrac{1}{4}\) hay \(\sqrt{x^2+x+\dfrac{1}{4}}\)??

m??

sửa hộ mình 

pt có 2 nghiệm phân biệt 

\(a_1=-5-\sqrt{24};a_2=-5+\sqrt{24}\)

giải phương trình hả bạn ? 

\(a^2+10a+1=0\)

\(\Delta'=25-1=24>0\)

pt có 2 nghiệm pb 

\(x_1=\frac{5-\sqrt{24}}{1}=5-\sqrt{24};x_2=5+\sqrt{24}\)

ý mình là mình không biêt phân tích ra kiểu gì ấy ạ

Bài 1 : 

\(CT:C_nH_{2n-6}\left(n\ge6\right)\)

\(\%C=\dfrac{12n}{14n-6}\cdot100\%=90.57\%\)

\(\Rightarrow n=8\)

\(CT:C_8H_{10}\)

Bài 2 : 

\(n_{CO_2}=\dfrac{17.6}{44}=0.4\left(mol\right)\)

\(CT:C_nH_{2n+1}OH\)

\(\Rightarrow n_{ancol}=\dfrac{n_{CO_2}}{n}=\dfrac{0.4}{n}\left(mol\right)\)

\(M_A=\dfrac{7.4}{\dfrac{0.4}{n}}=\dfrac{37}{2}n\left(\dfrac{g}{mol}\right)\)

\(\Rightarrow14n+18=\dfrac{37}{2}n\)

\(\Rightarrow n=4\)

\(CT:C_4H_9OH\)

\(CTCT:\)

\(B1:\)

\(CH_3-CH_2-CH_2-CH_2-OH:butan-1-ol\)

\(B2:\)

\(CH_3-CH_2-CH\left(CH_3\right)-OH:butan-2-ol\)

\(B2:\)

\(CH_3-CH\left(CH_3\right)-CH_2-OH:2-metylpropan-1-ol\)

\(B3:\)

\(C\left(CH_3\right)_3-OH:2-metylpropan-2-ol\)

Bài 1 : 

CTPT X:  C_nH_2n-6

Ta có :

\(\%C = \dfrac{12n}{14n-6}.100\% = 90,57\%\\ \Rightarrow n = 8\)

Vậy CTPT của X: C₈H₁₀

Bài 2 :

Ancol : C_nH_2n+2O

Ta có :

\(n_C = n_{CO_2} = \dfrac{17,6}{44}= 0,4(mol)\\ \Rightarrow m_C = 0,4.12 = 4,8(gam)\)

Ta có :

\(\dfrac{m_C}{m_{ancol}} = \dfrac{12n}{14n + 18} = \dfrac{4,8}{7,4}\\ \Rightarrow n = 4\)

Vậy, CTCT : 

\(CH_3-CH_2-CH_2-CH_2-OH\) :  butan-1-ol (Ancol bậc 1)

\(CH_3-CH(CH_3)-CH_2-OH\) : 2-metyl propan-1-ol (Ancol bậc 1)

\(CH_3-C(OH)(CH_3)-CH_3\) : 2-metyl propan-2-ol (Ancol bậc 3)

\(CH_3-CH(OH)-CH_2-CH_3\) : butan-2-ol (Ancol bậc 2)

hic cíu mng oi

a: ĐKXĐ: \(x\notin\left\{10;-10;\sqrt{10};-\sqrt{10}\right\}\)

b: \(A=\dfrac{5x^3+50x+2x^2+20+5x^3-50x-2x^2+20}{\left(x^2-10\right)\left(x^2+10\right)}\cdot\dfrac{x^2-100}{x^2+4}\)

\(=\dfrac{10x^3+40}{\left(x^2-10\right)\left(x^2+10\right)}\cdot\dfrac{x^2-100}{x^2+4}\)

280 - x.9 = 450

x.9 = 280 - 450

x.9 = -170

x= -170/9