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      <text>10.1.2.13 Dividing one complex number by another</text>
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      <text><![CDATA[<h4 class="HELM_example">Example </h4>
<p>Find <span class="math inline">\(\displaystyle{{{z\over w}}}\)</span> if <span class="math inline">\(z=2-3i\)</span> and <span class="math inline">\(w=2+i\)</span>.</p>

<h4 class="HELM_solution">Solution</h4>
<p><span class="math display">\[\begin{aligned}
{z\over w}={2-3i\over {2+i}}
&amp;={(2-3i)\times (2-i)\over
{(2+i)\times (2-i)}}\qquad \text{rationalising}\\&amp;={4-3+i(-6-2)\over
{4+1}}\qquad \text{multiplying out}\qquad\qquad\qquad\qquad\qquad\qquad\\
&amp;={1\over 5}-{8\over 5}i\qquad 
\text{dividing through}\end{aligned}\]</span></p>]]></text>
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