document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1061041>Question 1061041</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a problem and I have a solution too but don't understand one of the steps.\r<BR>\n" );
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document.write( "This is the problem :\r<BR>\n" );
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document.write( "(Sqrt(2) – 1) is a root of  x2 + bx + c = 0, where b, c &#8712; &#8484;.   Find the value of b and the value of c and hence, find the other root. \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #675885 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=675885\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Try starting with factored form of a quadratic equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-p%29%28x-v%29=0 ALIGN=MIDDLE  ALT=\"%28x-p%29%28x-v%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29-1 ALIGN=MIDDLE  ALT=\"sqrt%282%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > as one of the roots.  Maybe the other root is the conjugate of the known root?  You might expect <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%282%29-1 ALIGN=MIDDLE  ALT=\"-sqrt%282%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >., or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1-sqrt%282%29 ALIGN=MIDDLE  ALT=\"-1-sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Let's see if working in reverse direction starting with the two roots.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-%28-1%2Bsqrt%282%29%29%29%28x-%28-1-sqrt%282%29%29%29=0 ALIGN=MIDDLE  ALT=\"%28x-%28-1%2Bsqrt%282%29%29%29%28x-%28-1-sqrt%282%29%29%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >------will this work?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1-sqrt%282%29%29%28x%2B1%2Bsqrt%282%29%29=0 ALIGN=MIDDLE  ALT=\"%28x%2B1-sqrt%282%29%29%28x%2B1%2Bsqrt%282%29%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B1%29-sqrt%282%29%29%28%28x%2B1%29%2Bsqrt%282%29%29=0 ALIGN=MIDDLE  ALT=\"%28%28x%2B1%29-sqrt%282%29%29%28%28x%2B1%29%2Bsqrt%282%29%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and recognize that give difference of squares;\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%5E2-%28sqrt%282%29%29%5E2=0 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%5E2-%28sqrt%282%29%29%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2x%2B1-2=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B2x%2B1-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-2x-1=0 ALIGN=MIDDLE  ALT=\"x%5E2-2x-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  in which <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a=1%2Cb=-2%2Cc=-1%29 ALIGN=MIDDLE  ALT=\"system%28a=1%2Cb=-2%2Cc=-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Both the given root and its conjugate are roots for this equation.\r<BR>\n" );
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document.write( "Your text book should also give a lesson on what happens when you determine the product of roots of a quadratic equation; and what happens when you take the sum of the roots of a quadratic equation.   </SPAN>\n" );
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