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<p style="text-align: justify; font-family: times new roman,times,serif; font-style: italic;"><font size="4">Si resuelves la ecuación</font></p> <p style="text-align: justify; font-family: times new roman,times,serif; font-style: italic;"><font size="4"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#d0«/mi»«mi»#e1«/mi»«mfenced»«mrow»«mi»#x1«/mi»«mi»#d1«/mi»«mi»#a2«/mi»«/mrow»«/mfenced»«mi»#d2«/mi»«mi»#e2«/mi»«mfenced»«mrow»«mi»#x1«/mi»«mi»#d3«/mi»«mi»#a4«/mi»«/mrow»«/mfenced»«mi»#d4«/mi»«mi»#x1«/mi»«mfenced»«mrow»«mi»#a5«/mi»«mi»#h5«/mi»«mi»#a6«/mi»«/mrow»«/mfenced»«mo»=«/mo»«mn»0«/mn»«/math»</span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></font></p> <p style="text-align: justify; font-family: times new roman,times,serif; font-style: italic;"><font size="4">obtienes como resultado <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#x1«/mi»«mo»=«/mo»«/math»</span><span style="font-style: italic;"></span></font><font class="Apple-style-span" face="verdana, arial, helvetica, sans-serif" size="4" style="color: rgb(0, 0, 0); font-family: times new roman,times,serif; font-style: italic;"><font class="Apple-style-span">{1:SA:=\#sol#¡Muy bien! ¡Sigue así!}</font></font><font size="4" style="color: rgb(0, 0, 0); font-style: italic;"><span style="font-family: times new roman,times,serif;"></span></font><br /><font size="4"><span style="font-style: italic;"></span></font></p> <p style="text-align: justify; color: rgb(153, 0, 0); font-family: times new roman,times,serif; font-style: italic;"><font size="4"><span style="font-style: italic;">Obs.: Si ingresas el resultado como fracción hazlo de la forma a/b ó -a/b.<br /></span></font></p>
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<p style="text-align: justify; font-family: times new roman,times,serif; font-style: italic;"><font size="4">Solución:</font></p> <p style="text-align: justify; font-family: times new roman,times,serif; font-style: italic;"><font size="4">Lo primero que aplicaremos es la propiedad distributiva en cada factor, es decir,</font></p> <p style="text-align: justify; font-family: times new roman,times,serif; font-style: italic;"><font size="4"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#e1«/mi»«mfenced»«mrow»«mi»#x1«/mi»«mi»#d1«/mi»«mi»#a2«/mi»«/mrow»«/mfenced»«mi»#d2«/mi»«mi»#e2«/mi»«mfenced»«mrow»«mi»#x1«/mi»«mi»#d3«/mi»«mi»#a4«/mi»«/mrow»«/mfenced»«mi»#d4«/mi»«mi»#x1«/mi»«mfenced»«mrow»«mi»#a5«/mi»«mi»#h5«/mi»«mi»#a6«/mi»«/mrow»«/mfenced»«mo»=«/mo»«mn»0«/mn»«/math»</span></span></span></span></span></span></span></span></font></p> <p style="text-align: justify; font-family: times new roman,times,serif; font-style: italic;"><font size="4"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#e1«/mi»«mi»#x1«/mi»«mi»#d6«/mi»«mi»#a8«/mi»«mi»#d2«/mi»«mi»#e2«/mi»«mi»#x1«/mi»«mi»#d7«/mi»«mi»#a9«/mi»«mi»#d8«/mi»«mi»#a10«/mi»«mi»#x1«/mi»«mo»=«/mo»«mn»0«/mn»«/math»</span></span></span></span></span></span></span></span></font></p> <p style="text-align: justify; font-family: times new roman,times,serif; font-style: italic;"><font size="4">Luego, sumamos términos semejantes<br /></font></p> <p style="text-align: justify; font-family: times new roman,times,serif; font-style: italic;"><font size="4"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#a11«/mi»«mi»#x1«/mi»«mi»#d9«/mi»«mi»#a12«/mi»«mo»=«/mo»«mn»0«/mn»«/math»</span></span></span></span></span></span></span></span></font></p> <p style="text-align: justify; font-family: times new roman,times,serif; font-style: italic;"><font size="4">Posteriormente, sumamos a ambos lados de la igualdad <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#d11«/mi»«mi»#a13«/mi»«/math»</span></font></p> <p style="text-align: justify; font-family: times new roman,times,serif; font-style: italic;"><font size="4"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#a11«/mi»«mi»#x1«/mi»«mi»#d9«/mi»«mi»#a12«/mi»«mi»#d10«/mi»«mi»#a13«/mi»«mo»=«/mo»«mi»#d11«/mi»«mi»#a13«/mi»«/math»</span></span></span></span></span></span></span></span></font></p> <p style="text-align: justify; font-family: times new roman,times,serif; font-style: italic;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#a11«/mi»«mi»#x1«/mi»«mo»=«/mo»«mi»#d11«/mi»«mi»#a13«/mi»«/math»</span></p> <p style="text-align: justify; font-family: times new roman,times,serif; font-style: italic;"><font size="4">Finalmente, dividimos a ambos lados por <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#a11«/mi»«/math»</span> y obtenemos que</font></p> <p style="text-align: justify; font-family: times new roman,times,serif; font-style: italic;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#x1«/mi»«mo»=«/mo»«mfrac»«mrow»«mi»#b13«/mi»«/mrow»«mrow»«mi»#a11«/mi»«/mrow»«/mfrac»«/math»</span></p> <p style="text-align: justify; font-family: times new roman,times,serif; font-style: italic;"><font size="4">Verificamos si es posible simplificar y se obtiene:</font><br /><font size="4"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"></span></span></span></span></span></span></span></font></p> <p style="text-align: center; font-family: times new roman,times,serif; font-style: italic;"><font size="4"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»#x1«/mi»«mo»=«/mo»«mi»#sol«/mi»«/math»</span></span></span></span></span></span></span></span>.</font></p> <p> </p>
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