Question

2x elevado a 4 -x elevado a 2+1=0

Answer 1

Resposta:

$2x^4-x^2+1=0$

$2u^2-u+1=0$

$u=\frac{1}{4}+i\frac{\sqrt{7}}{4},\:u=\frac{1}{4}-i\frac{\sqrt{7}}{4}$

$x=\frac{\left(4\sqrt{7}+\sqrt{14}\right)\sqrt{2\sqrt{2}-1}}{28}+\frac{\sqrt{2}\sqrt{2\sqrt{2}-1}}{4}i,\:x=-\frac{\left(4\sqrt{7}+\sqrt{14}\right)\sqrt{2\sqrt{2}-1}}{28}-\frac{\sqrt{2}\sqrt{2\sqrt{2}-1}}{4}i,\:x=-\frac{\left(4\sqrt{7}+\sqrt{14}\right)\sqrt{2\sqrt{2}-1}}{28}+\frac{\sqrt{2}\sqrt{2\sqrt{2}-1}}{4}i,\:x=\frac{\left(4\sqrt{7}+\sqrt{14}\right)\sqrt{2\sqrt{2}-1}}{28}-\frac{\sqrt{2}\sqrt{2\sqrt{2}-1}}{4}i$