document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1145843>Question 1145843</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rosa is 8 years younger than dale. if the product of their ages is 105,how old is each person </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #767147 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=767147\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "Dear student (!)\r<BR>\n" );
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document.write( "After getting these posts from 3 tutors, you can be confused: to which way follow and whose advice to select.\r<BR>\n" );
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document.write( "First of all, you should not be in conflict with the teacher and the class policy.\r<BR>\n" );
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document.write( "Therefore, write a quadratic equation and solve it by any way: by factoring (if possible), or using the quadratic formula.\r<BR>\n" );
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document.write( "This guessing method is also good, and especially good to quickly guess the solution. You can use it \r<BR>\n" );
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document.write( "as your internal (interior) tool. But at the exam/quiz/test the quadratic equation is your tool #1,\r<BR>\n" );
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document.write( "if you need to show your work.\r<BR>\n" );
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document.write( "The mental \"guessing\" is your interior tool #2  <------> (notice, not #1, but #2) when you should present your work at the exam/quiz/test.\r<BR>\n" );
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document.write( "But in your \"everyday mathematical exercises\" you may use \"guessing\" to have your mind trained :)\r<BR>\n" );
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document.write( "It is good to quickly guess the solution, when possible, but it is not an issue to conflict with a teacher and a school.\r<BR>\n" );
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document.write( "It is good to have both methods in your possession, but it is not (again) an issue to conflict with a teacher and a school.\r<BR>\n" );
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document.write( "<U>Short conclusion</U>\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "    1.  The quadratic formula works always as an army tank, independently, if your roots are integer numbers, \r\n" );
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document.write( "        or rational, or irrational, or even complex numbers.\r\n" );
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document.write( "    2.  Guessing works good in simple cases  (integer roots; integer coefficients of the original equation).\r\n" );
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document.write( "    3.  In my practice, if I given a quadratic equation with integer coefficients and if I can not guess its solution in 5 - 7 seconds,\r\n" );
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document.write( "        I switch my mind and use the quadratic formula.\r\n" );
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document.write( "    4.  If somebody tells you a story on how successfully he (or she) used guessing, always remember:\r\n" );
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document.write( "             in complex / complicated cases it works especially good when the solution is known in advance.\r\n" );
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document.write( "    This last my statement is a joke and a TRUTH at the same time :)\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "For many simple cases see my lesson\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/Solving-quadratic-equations-without-quadratic-formula.lesson>Solving quadratic equations without quadratic formula</A>\r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "Happy learning (!)\r<BR>\n" );
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document.write( "Come again to the forum soon to learn something new (!)\r<BR>\n" );
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