Question

Tìm x:

x*(x-2)=2

Answer 1

\(x\left(x-2\right)=2\)

\(\Rightarrow x^2-2x-2=0\)

\(\Rightarrow x^2-2x+1-3=0\)

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

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

\(\Rightarrow\left[{}\begin{matrix}x-1+\sqrt{3}=0\\x-1-\sqrt{3}=0\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=1-\sqrt{3}\\x=1+\sqrt{3}\end{matrix}\right.\)