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Unformatted text preview: <?xml version="1.0" encoding="iso-8859-1"?> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <title>2.3 - Complex Numbers</title> <meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1" /> <link href="../m116.css" rel="stylesheet" type="text/css" /> </head> <body> <h1>2.3 - Complex Numbers</h1> <h2>Imaginary number, i</h2> <p>The square of no real number can be negative. That, however, leaves certain equations (like x<sup>2</sup>+1=0) with no real solution. We mathematicians don't like things not to have an answer. So, we came up an imaginary number <em>i</em> such that <em>i</em><sup>2</sup> = -1. That makes <em>i</em>=sqrt(-1). </p> <p>It is important to remember that <em>i</em> is an imaginary number. There will never be a <em>real</em> number whose square is negative. Since we graph equations in the <em>real</em> world, solutions that involve <em>i</em> will not appear on the graph.</p> <h2>Complex Numbers</h2> <p>Every complex number can be written as &quot;a + b<em>i</em>&quot; where...
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