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<p> </p> <table style="border: 4px solid #003300; background-color: #ffffcc; width: 400px;" border="4" align="center"> <tbody> <tr style="background-color: #006600;" align="center"> <td style="border-color: #003300; border-style: solid; border-width: 1px; background-color: #003300;"><span style="color: #ffff99;" data-mce-mark="1"><span style="font-size: large;" data-mce-mark="1">Equació «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨18px¨»«mrow»«msup mathcolor=¨#FFFFC3¨»«mi mathcolor=¨#FFFFC3¨»ax«/mi»«mn»2«/mn»«/msup»«mo mathcolor=¨#FFFFC3¨»+«/mo»«mi mathcolor=¨#FFFFC3¨»bx«/mi»«mo mathcolor=¨#FFFFC3¨»+«/mo»«mi mathvariant=¨normal¨ mathcolor=¨#FFFFC3¨»c«/mi»«mo mathcolor=¨#FFFFC3¨»§#160;«/mo»«mo mathcolor=¨#FFFFC3¨»(«/mo»«mi mathvariant=¨normal¨ mathcolor=¨#FFFFC3¨»§#916;«/mi»«mo mathcolor=¨#FFFFC3¨»§#60;«/mo»«mn mathcolor=¨#FFFFC3¨»0«/mn»«mo mathcolor=¨#FFFFC3¨»)«/mo»«/mrow»«/mstyle»«/math» en ℂ</span> </span></td> </tr> <tr> <td style="text-align: left;"><span style="color: #003300;"><strong><span style="font-size: small;">En el conjunt dels complexos, les equacions de 2n grau es fan igual que en el conjunt dels reals, però si el discriminant és negatiu (Δ=-K), es substitueix per Δ=Ki<sup>2</sup>.</span></strong></span><br /><span style="color: #003300;"><strong><span style="font-size: small;">Es calcula primer el discriminant: <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»§#916;«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«msup mathcolor=¨#003300¨»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»b«/mi»«mn mathvariant=¨bold¨»2«/mn»«/msup»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»-«/mo»«mfenced mathcolor=¨#003300¨ open=¨[¨ close=¨]¨»«mrow»«mn mathvariant=¨bold¨»4«/mn»«mo mathvariant=¨bold¨»§#183;«/mo»«mi mathvariant=¨bold¨»a«/mi»«mo mathvariant=¨bold¨»§#183;«/mo»«mi mathvariant=¨bold¨»c«/mi»«/mrow»«/mfenced»«/mrow»«/mstyle»«/math»</span> = -K</span></strong></span><br /><span style="color: #003300;"><strong><span style="font-size: small;">Com que és negatiu, el substitueix per K<span style="color: #ff0000;">i<sup>2</sup></span>.</span></strong></span><br /><span style="color: #008000; font-size: small;"><span style="color: #003300;"><strong>Les solucions són </strong></span><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»z«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mfrac mathcolor=¨#003300¨»«mrow»«mo mathvariant=¨bold¨»-«/mo»«mi mathvariant=¨bold¨»b«/mi»«mo mathvariant=¨bold¨»§#177;«/mo»«msqrt»«mi mathvariant=¨bold¨»K«/mi»«msup mathcolor=¨#FF0000¨»«mi mathvariant=¨bold¨ mathcolor=¨#FF0000¨»i«/mi»«mn mathvariant=¨bold¨»2«/mn»«/msup»«/msqrt»«/mrow»«mrow»«mn mathvariant=¨bold¨»2«/mn»«mo mathvariant=¨bold¨»§#183;«/mo»«mi mathvariant=¨bold¨»a«/mi»«/mrow»«/mfrac»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mfrac mathcolor=¨#003300¨»«mrow»«mo mathvariant=¨bold¨»-«/mo»«mi mathvariant=¨bold¨»b«/mi»«mo mathvariant=¨bold¨»§#177;«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#FF0000¨»i«/mi»«msqrt»«mi mathvariant=¨bold¨»K«/mi»«/msqrt»«/mrow»«mrow»«mn mathvariant=¨bold¨»2«/mn»«mo mathvariant=¨bold¨»§#183;«/mo»«mi mathvariant=¨bold¨»a«/mi»«/mrow»«/mfrac»«/mstyle»«/math»</span></span></td> </tr> </tbody> </table> <p> </p> <p> </p>
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