document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=41701>Question 41701</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1) 	Using the quadratic equation x2 - 4x - 5 = 0, perform the following tasks:<BR>\n" );
document.write( "a) 	Solve by factoring.\r<BR>\n" );
document.write( "\n" );
document.write( "b) 	Solve by completing the square.<BR>\n" );
document.write( " <BR>\n" );
document.write( "c) 	Solve by using the quadratic formula. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Thank you for the help in advance.<BR>\n" );
document.write( "textbook info.<BR>\n" );
document.write( "ISBN 0-321-27908-5 <BR>\n" );
document.write( "TITLE<BR>\n" );
document.write( "COLLEGE ALGEBRA BY GARY ROCKSWOLD<BR>\n" );
document.write( "3RD EDITION </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #26922 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=26922\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> FACTORIZATION METHOD\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+4x+-+5+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+4x+-+5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+5x+%2B+x+-+5+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+5x+%2B+x+-+5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x+-+5%29+%2B+1%28x+-+5%29+=+0 ALIGN=MIDDLE  ALT=\"x%28x+-+5%29+%2B+1%28x+-+5%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+5%29%28x+%2B+1%29+=+0 ALIGN=MIDDLE  ALT=\"%28x+-+5%29%28x+%2B+1%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Therefore, either (x - 5) = 0 i.e. x = 5 or (x + 1) = 0 i.e. x = -1.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "COMPLETING THE SQUARE METHOD<BR>\n" );
document.write( "The equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+4x+-+5+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+4x+-+5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > can also be written as <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+-+2%2Ax%2A2+%2B+2%5E2%29+-+9+=+0 ALIGN=MIDDLE  ALT=\"%28x%5E2+-+2%2Ax%2A2+%2B+2%5E2%29+-+9+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+2%29%5E2+=+9+=+3%5E2 ALIGN=MIDDLE  ALT=\"%28x+-+2%29%5E2+=+9+=+3%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Square-rooting both sides we have<BR>\n" );
document.write( "either <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+2%29+=+3 ALIGN=MIDDLE  ALT=\"%28x+-+2%29+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+2%29+=+-3 ALIGN=MIDDLE  ALT=\"%28x+-+2%29+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "i.e. either x = 5 or x = -1.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "QUADRATIC FORMULA METHOD<BR>\n" );
document.write( "The formula, developed by Sreedharacharya, for solving quadratic equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2+%2B+bx+%2B+c+=+0 ALIGN=MIDDLE  ALT=\"ax%5E2+%2B+bx+%2B+c+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Comparing with the standard quadratic equation, here a = 1, b = -4, c = -5.<BR>\n" );
document.write( "Substituting these values in the formula we obtain<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-4%29+%2B-+sqrt%28+%28-4%29%5E2-4%2A1%2A%28-5%29+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-%28-4%29+%2B-+sqrt%28+%28-4%29%5E2-4%2A1%2A%28-5%29+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%284+%2B-+sqrt%2816%2B20%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%284+%2B-+sqrt%2816%2B20%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%284+%2B-+sqrt%2836%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%284+%2B-+sqrt%2836%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%284+%2B-+6%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%284+%2B-+6%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2+%2B-+3+ ALIGN=MIDDLE  ALT=\"x+=+2+%2B-+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So either x = 5 or x = -1. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );