Question

1 - 4/x^2 = 3/x (x≠0)

Answer 1

$1 - \dfrac{4}{x^2} = \dfrac{3}{x}$

$k = \dfrac{1}{x}$

$1 - 4k^2 = 3k$

$4k^2+3k-1=0$

$\Delta = 25$

$k = \dfrac{-3\pm 5}{8}$

$k_1 = \dfrac{1}{4} \implies x = 4$

$k_2 = -1 \implies x = -1$