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<p style="text-align: left;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">Dada la siguiente ecuación cuadrática de una variable : #ECUA . Al reducir los términos semejantes en la siguiente ecuación y determinar sus soluciones.</span></p> <p style="text-align: left;"> </p> <p style="text-align: left;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"> #PREG</span></p> <p style="text-align: center;"> </p> <p style="text-align: center;"> </p> <p><strong><span style="font-family: arial,helvetica,sans-serif; font-size: medium; color: #ff0000;">Observacion:</span></strong></p> <p><span style="font-family: arial,helvetica,sans-serif; font-size: medium; color: #ff0000;">- Si la raiz no es exacta, dejar los resultados expresados con raiz, simplificados a la mínima expresión.</span></p>
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<p><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">Recordar que, la expresión general de una ecuación cuadrática de una variable se expresa como:</span></p> <p> </p> <p> </p> <p style="text-align: center;"><span class="nolink" style="font-family: arial,helvetica,sans-serif; font-size: medium;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mi»b«/mi»«mi»x«/mi»«mo»+«/mo»«mi»c«/mi»«mo»=«/mo»«mn»0«/mn»«/math» para «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»§#8800;«/mo»«mn»0«/mn»«/math»<br /></span></p> <p style="text-align: center;"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"> </span></p> <p style="text-align: center;"> </p> <p><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"> debes considerar que siempre existen dos soluciones de la forma<em><br /><br /></em></span></p> <p> </p> <div align="center"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><em><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable»«mtr»«mtd»«msub»«mi»x«/mi»«mn»1«/mn»«/msub»«mo»=«/mo»«mfrac»«mrow»«mo»-«/mo»«mi»b«/mi»«mo»+«/mo»«msqrt»«msup»«mi»b«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»4«/mn»«mi»a«/mi»«mi»c«/mi»«/msqrt»«/mrow»«mrow»«mn»2«/mn»«mi»a«/mi»«/mrow»«/mfrac»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«msub»«mi»x«/mi»«mn»2«/mn»«/msub»«mo»=«/mo»«mfrac»«mrow»«mo»-«/mo»«mi»b«/mi»«mo»-«/mo»«msqrt»«msup»«mi»b«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»4«/mn»«mi»a«/mi»«mi»c«/mi»«/msqrt»«/mrow»«mrow»«mn»2«/mn»«mi»a«/mi»«/mrow»«/mfrac»«/mtd»«/mtr»«/mtable»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«/math»</span></em></span></div> <p><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"> </span></p> <p> </p> <p><br /><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">Como la ecuación planteada es<em>:<br /></em></span></p> <p> </p> <div align="center"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">#ECUA</span></div> <p><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"> </span></p> <p> </p> <p><br /><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">Para resolverla, primero debemos dejar la ecuación equivalente a cero. Así, tenemos </span><br /><br /></p> <p> </p> <div align="center"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">#ECUA1</span><br /><br /> <div align="left"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"> </span></div> <div align="left"> </div> <div align="left"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">Luego, en la ecuación cuadrática obtenida, identificamos cuánto valen los parámetros<em> «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»,«/mo»«mo»§#160;«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo»§#160;«/mo»«mi»c«/mi»«/math» <br /></em></span></div> <div align="left"> </div> <div align="left"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><em><br /> </em></span> <div align="center"><span class="nolink" style="font-family: arial,helvetica,sans-serif; font-size: medium;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable»«mtr»«mtd»«mi»a«/mi»«mo»=«/mo»«mi»#a1«/mi»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mi»b«/mi»«mo»=«/mo»«mi»#b1«/mi»«/mtd»«/mtr»«mtr»«mtd/»«/mtr»«mtr»«mtd»«mi»c«/mi»«mo»=«/mo»«mi»#c1«/mi»«/mtd»«/mtr»«/mtable»«/math»</span></div> </div> <div align="left"> </div> <div align="left"> </div> <div align="left"><br /><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">Reemplazamos en la solución de la ecuación mencionada anteriormente, según corresponda y obtenemos<em><br /></em></span></div> <div align="left"> </div> <div align="left"><br /> <div align="center"><span class="nolink" style="font-family: arial,helvetica,sans-serif; font-size: medium;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»x«/mi»«mn»1«/mn»«/msub»«mo»=«/mo»«mi»#solu1«/mi»«mspace linebreak=¨newline¨/»«mspace linebreak=¨newline¨/»«msub»«mi»x«/mi»«mn»2«/mn»«/msub»«mo»=«/mo»«mi»#solu2«/mi»«/math»</span></div> </div> <div align="left"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"> </span></div> <div align="left"> </div> <div align="left"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">Resolviendo, tenemos que<em><br /></em></span></div> <div align="left"> </div> <div align="left"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><em><br /></em></span> <div align="center"><span class="nolink" style="font-family: arial,helvetica,sans-serif; font-size: medium;">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mtable»«mtr»«mtd»«msub»«mi»x«/mi»«mn»1«/mn»«/msub»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mi»#solu3«/mi»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mi»#solu5«/mi»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mi»#solu7«/mi»«/mtd»«/mtr»«mtr»«mtd/»«mtd/»«mtd/»«mtd/»«mtd/»«mtd/»«mtd/»«/mtr»«mtr»«mtd»«msub»«mi»x«/mi»«mn»2«/mn»«/msub»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mi»#solu4«/mi»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mi»#solu6«/mi»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«mi»#solu8«/mi»«/mtd»«/mtr»«/mtable»«mspace linebreak=¨newline¨/»«/math»</span></div> <span style="font-family: arial,helvetica,sans-serif; font-size: medium;"><em><br /></em></span></div> <div align="left"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"> </span></div> <div align="left"> </div> <div align="left"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">Por lo tanto la <em>#PREG2 </em>es<em>: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»s«/mi»«mi»o«/mi»«mi»l«/mi»«/math»</em></span></div> <div align="left"><span style="font-family: arial,helvetica,sans-serif; font-size: medium;"> </span></div> <div align="left"><br /> <div align="center"> <div align="center"> </div> </div> <div align="center"> </div> <div align="center"> </div> <div style="text-align: left;" align="center"> </div> <div style="text-align: left;" align="center"> <p><strong><span style="font-family: arial,helvetica,sans-serif; font-size: medium; color: #99cc00;">Reporta y/o califica esta pregunta:</span></strong></p> <p><span style="font-family: arial,helvetica,sans-serif; font-size: medium; color: #99cc00;">1. Copia este código: <span style="color: #000000;"><strong>EySE. C2S02. a. LS.</strong></span></span></p> <p><span style="font-family: arial,helvetica,sans-serif; font-size: medium; color: #99cc00;">2. Presiona este <span style="text-decoration: underline;"><strong><span style="color: #0000ff;"><a href="https://docs.google.com/forms/d/e/1FAIpQLSejUJfyYOVP4-dMOQ_mWon-7epEMg7Vddq2LNbGnOqwOiOVXQ/viewform" target="_blank"><span style="color: #0000ff; text-decoration: underline;">enlace</span></a></span></strong></span>, pega el código y completa el formulario</span></p> <p> </p> </div> </div> </div>
No, case is unimportant
Yes, case must match
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<p><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">¡Muy Bien!</span></p> <p> </p>
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<p><span style="font-family: arial,helvetica,sans-serif; font-size: medium;">Al parecer cometiste un error, revisa tu desarrollo y consulta a tu profesor si aún te quedan dudas.</span><br /><br /></p> <p> </p>
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83.33333%
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66.66667%
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33.33333%
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