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 <question type="category"><category><text>1MA 03. NOMBRES COMPLEXOS/1MA.03.1 Unitat i, EqG2 en ℂ</text></category></question>
 
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      <text>1MA.03.1.10DT  Eq 2n grau  ax^2+c</text>
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<td style="text-align: center; background-color: #003300;"><span style="font-size: large; color: #ffff99;" 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 mathvariant=¨normal¨ mathcolor=¨#FFFFC3¨»c«/mi»«mo mathcolor=¨#FFFFC3¨»§#160;«/mo»«mo mathcolor=¨#FFFFC3¨»=«/mo»«mo mathcolor=¨#FFFFC3¨»§#160;«/mo»«mn mathcolor=¨#FFFFC3¨»0«/mn»«mo mathcolor=¨#FFFFC3¨»§#160;«/mo»«mo mathcolor=¨#FFFFC3¨»(«/mo»«mi mathvariant=¨normal¨ mathcolor=¨#FFFFC3¨»a«/mi»«mo mathcolor=¨#FFFFC3¨»§#183;«/mo»«mi mathvariant=¨normal¨ mathcolor=¨#FFFFC3¨»c«/mi»«mo mathcolor=¨#FFFFC3¨»§#62;«/mo»«mn mathcolor=¨#FFFFC3¨»0«/mn»«mo mathcolor=¨#FFFFC3¨»)«/mo»«/mrow»«/mstyle»«/math»en ℂ <br /></span></td>
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<td style="text-align: center;"><span style="color: #003300;" data-mce-mark="1"><strong><span style="font-size: small;" data-mce-mark="1">Si l'equació és del tipus ax<sup>2</sup> + c = 0, i a·c&gt;0, aïlla la x:</span></strong></span><br /><span style="color: #003300;" data-mce-mark="1"><strong><span style="font-size: small;" data-mce-mark="1">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«msup mathcolor=¨#003300¨»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»ax«/mi»«mn mathvariant=¨bold¨»2«/mn»«/msup»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»+«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»c«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mn mathvariant=¨bold¨ mathcolor=¨#003300¨»0«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#8660;«/mo»«msup mathcolor=¨#003300¨»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»ax«/mi»«mn mathvariant=¨bold¨»2«/mn»«/msup»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»-«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»c«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#160;«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#8660;«/mo»«msup mathcolor=¨#003300¨»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»x«/mi»«mn mathvariant=¨bold¨»2«/mn»«/msup»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»-«/mo»«mfrac mathcolor=¨#003300¨»«mi mathvariant=¨bold¨»c«/mi»«mi mathvariant=¨bold¨»a«/mi»«/mfrac»«/mrow»«/mstyle»«/math»</span></strong></span><br /><br /><span style="color: #003300;" data-mce-mark="1"><strong><span style="font-size: small;" data-mce-mark="1">Com que -c/a és negatiu, es transforma en <span class="nolink" data-mce-mark="1">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mfrac mathcolor=¨#003300¨»«mi mathvariant=¨bold¨»c«/mi»«mi mathvariant=¨bold¨»a«/mi»«/mfrac»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#183;«/mo»«msup mathcolor=¨#FF0000¨»«mi mathvariant=¨bold¨ mathcolor=¨#FF0000¨»i«/mi»«mn mathvariant=¨bold¨»2«/mn»«/msup»«/mrow»«/mstyle»«/math»</span></span></strong></span><br /><span style="color: #003300;" data-mce-mark="1"><strong><span style="font-size: small;" data-mce-mark="1">I les solucions són: </span></strong></span><span class="nolink" data-mce-mark="1">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mrow»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»x«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#177;«/mo»«msqrt mathcolor=¨#003300¨»«mfrac»«mi mathvariant=¨bold¨»c«/mi»«mi mathvariant=¨bold¨»a«/mi»«/mfrac»«mo mathvariant=¨bold¨»§#183;«/mo»«msup»«mi mathvariant=¨bold¨»i«/mi»«mn mathvariant=¨bold¨»2«/mn»«/msup»«/msqrt»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»§#177;«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»i«/mi»«msqrt mathcolor=¨#003300¨»«mfrac»«mi mathvariant=¨bold¨»c«/mi»«mi mathvariant=¨bold¨»a«/mi»«/mfrac»«/msqrt»«/mrow»«/mstyle»«/math»</span></td>
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<p><span style="font-weight: bold; color: #ff0000;">La fracció i l'arrel es simplifiquen, si es pot.</span></p>]]></text>
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