Question

x/4 = 1/x

can gap

Answer 1

\(\dfrac{x}{4}=\dfrac{1}{x}\\ \Rightarrow x^2=1\cdot4\\ x^2=4\\ \Rightarrow x\in\left\{2;-2\right\}\)

Answer 2

ĐKXĐ: x<>0

\(\dfrac{x}{4}=\dfrac{1}{x}\)

=>\(x\cdot x=4\cdot1=4\)

=>\(x^2=4\)

=>\(\left[{}\begin{matrix}x=2\left(nhận\right)\\x=-2\left(nhận\right)\end{matrix}\right.\)