Question

x³-1=0 quais as raizes da equação

Answer 1

$x=\sqrt[3]1\\ \\ x_n=\cos \left(\dfrac{360\cdot n}{3}\right)+i\sin \left(\dfrac{360\cdot n}{3}\right)\\ \\\\ x_0=1\\ x_1=\cos 120\°+i\sin 120\°=-\dfrac{1}{2}+\dfrac{\sqrt3}{2}i\\ \\ x_2=\cos 240\°+i\sin 240\°=\dfrac{1}{2}-\dfrac{\sqrt3}{2}i$