Question 743526
<pre>
            z<sup>4</sup> - 9 = 0  

        (z<sup>2</sup>)<sup>2</sup> - 3<sup>2</sup> = 0

  (z<sup>2</sup> - 3)(z<sup>2</sup> + 3) = 0

z<sup>2</sup> - 3 = 0;   z<sup>2</sup> + 3 = 0
    z<sup>2</sup> = 3;       z<sup>2</sup> = -3
     z = ±&#8730;<span style="text-decoration: overline">3</span>;      z = ±&#8730;<span style="text-decoration: overline">-3</span>
                   z = ±i&#8730;<span style="text-decoration: overline">3</span>

Four answers &#8730;<span style="text-decoration: overline">3</span>, -&#8730;<span style="text-decoration: overline">3</span>, i&#8730;<span style="text-decoration: overline">3</span>, -i&#8730;<span style="text-decoration: overline">3</span>

Edwin</pre>