2.c

\(x+\sqrt{4x^2-4x+1}=5\)

\(\Leftrightarrow x+\sqrt{\left(2x-1\right)^2}=5\)

\(\Leftrightarrow x+\left|2x-1\right|=5\)

\(\Leftrightarrow\left[{}\begin{matrix}x+2x-1=5;x\ge\dfrac{1}{2}\\x+1-2x=5;x< \dfrac{1}{2}\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}3x=6\\-x=4\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=2\left(tm\right)\\x=-4\left(tm\right)\end{matrix}\right.\)

Vậy \(S=\left\{2;-4\right\}\)

a) 4x² + 4xy + y² = (2x + y)²

c) 8a³ - 36a²b + 54ab² - 27b² = (2a - 3b)³

d) 8x³ + 12x²y + 6xy² + y³ = ( 2x - y)³

1B

2A

3C

4D

5D

Câu 4 : 

A : Chất khử

B : Axit

C : Chất khử

D : Chất khử

Câu 1 : 

\(n_{Mg} = a(mol) ; n_{Cu} = b(mol)\Rightarrow 24a + 64b = 20(1)\\ n_{SO_2} = \dfrac{11,2}{22,4} = 0,5(mol)\)

Bảo toàn electron : 2a + 2b = 0,5.2(2)

Từ (1)(2) suy ra a = 0,3 ; b = 0,2

\(\%m_{Mg} = \dfrac{0,3.24}{20}.100\% = 36\%\)

Bài 3: 

a: Ta có: \(\left(2x-5\right)^2=225\)

\(\Leftrightarrow\left[{}\begin{matrix}2x-5=15\\2x-5=-15\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=10\\x=-5\end{matrix}\right.\)

b: Ta có: \(\left|2x-3\right|=5\)

\(\Leftrightarrow\left[{}\begin{matrix}2x-3=5\\2x-3=-5\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=4\\x=-1\end{matrix}\right.\)