Question

w^4-4w^2-2=0

Answer 1

\[w^4-4w^2-2=0\]\[(w^2-2)^2-6=0\]\[w^2-2=\pm\sqrt{6}\]\[w^2=2+\sqrt{6}\quad\vee\quad w^2=2-\sqrt{6}\]\[w_{1,2}=\pm\sqrt{2+\sqrt{6}}\quad,\quad w_{3,4}=\pm i\sqrt{\sqrt{6}-2}\]