\(1,\Leftrightarrow x^2-10x+25=0\Leftrightarrow\left(x-5\right)^2=0\Leftrightarrow x=5\left(B\right)\\ 2,Giống.1\\ 3,=5x^2\left(B\right)\\ 4,x^3=x\Leftrightarrow x^3-x=0\\ \Leftrightarrow x\left(x^2-1\right)=0\\ \Leftrightarrow x\left(x-1\right)\left(x+1\right)=0\Leftrightarrow\left[{}\begin{matrix}x=0\\x=1\\x=-1\end{matrix}\right.\\ \Leftrightarrow A\)

C1: \(\left(x-1\right)^2=5^4=625\)

\(\Rightarrow\left[{}\begin{matrix}x-1=25\\x-1=-25\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}x=26\\x=-24\end{matrix}\right.\) => Chọn C

C2: \(\left(4x^2-9\right)\left(2^{x-1}-1\right)=0\)

\(\Rightarrow\left(2x-3\right)\left(2x+3\right)\left(2^{x-1}-1\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=-\dfrac{3}{2}\\x-1=0\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=-\dfrac{3}{2}\\x=1\end{matrix}\right.\) => Chọn A

C3: \(3^x=9^3.27^5\)

\(\Rightarrow3^x=3^6.3^{15}=3^{21}\Rightarrow x=21\) => Chọn B

\(x^2-4x+1=0\Leftrightarrow\left(x^2-4x+4\right)-3=0\Leftrightarrow\left(x-2\right)^2-3=0\Leftrightarrow\left(x-2\right)^2=3\)

\(\Leftrightarrow\orbr{\begin{cases}x-2=-\sqrt{3}\\x-2=\sqrt{3}\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=2-\sqrt{3}\\x=\sqrt{3}+2\end{cases}}\)

rồi bạn thay x ào A mà tính

Biết :   x² - 4x + 1 = 0  Tính giá trị  \(A=\frac{x^2-x+1}{x}\)

Ta biến đổi : \(A=\frac{x^2-x+1}{x}=\frac{\left(x^2-4x+1\right)+3x}{x}=\frac{0+3x}{x}=3\)

1/n=5

chỉ biết vậy thôi !!!!

\(\left(x^2+1\right)\left|1-10x\right|=0\Leftrightarrow x^2+1=0\Rightarrow x^2=-1\Rightarrow x\varepsilon\phi\)hoặc\(\left|1-10x\right|=0\Rightarrow\left|10x-1\right|=0\Rightarrow10x-1=0\Rightarrow x=\frac{1}{10}\)

Vậy x=1/10

1/  196

2/  5/4

3/  1/3