document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=675635>Question 675635</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the following. \r<BR>\n" );
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document.write( "f(x)=1/2x^2+3/2x-1/2\r<BR>\n" );
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document.write( "  <BR>\n" );
document.write( "(a) Find all the real zeros of the polynomial function.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #419958 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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=419958\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29x%5E2+%2B+%283%2F2%29x+-+%281%2F2%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29x%5E2+%2B+%283%2F2%29x+-+%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+%281%2F2%29x%5E2+%2B+%283%2F2%29x+-+%281%2F2%29 ALIGN=MIDDLE  ALT=\"0+=+%281%2F2%29x%5E2+%2B+%283%2F2%29x+-+%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "Multiply both sides of the equation by 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+x%5E2+%2B+3x+-+1 ALIGN=MIDDLE  ALT=\"0+=+x%5E2+%2B+3x+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "Complete the square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+3x+%2B+2.25+=+1+%2B+2.25 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+3x+%2B+2.25+=+1+%2B+2.25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1.5%29%5E2+=+3.25 ALIGN=MIDDLE  ALT=\"%28x%2B1.5%29%5E2+=+3.25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%2B1.5%29%5E2 ALIGN=MIDDLE  ALT=\"sqrt%28x%2B1.5%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = +/- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283.25%29 ALIGN=MIDDLE  ALT=\"sqrt%283.25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "x+1.5 = +/- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283.25%29 ALIGN=MIDDLE  ALT=\"sqrt%283.25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = -1.5 +/- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283.25%29 ALIGN=MIDDLE  ALT=\"sqrt%283.25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "x = -1.5 + 1.8 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28.3%29 ALIGN=MIDDLE  ALT=\"highlight_green%28.3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = -1.5 - 1.8 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28-3.3%29 ALIGN=MIDDLE  ALT=\"highlight_green%28-3.3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "using the quadratic formula<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-%283%2F2%29+%2B-+sqrt%28%283%2F2%29%5E2-4%281%2F2%29%28-1%2F2%29%29%29%2F2%281%2F2%29 ALIGN=MIDDLE  ALT=\"%28-%283%2F2%29+%2B-+sqrt%28%283%2F2%29%5E2-4%281%2F2%29%28-1%2F2%29%29%29%2F2%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-%283%2F2%29+%2B-+sqrt%28%289%2F4%29-%28-2%2F2%29%29%29%2F%282%2F2%29 ALIGN=MIDDLE  ALT=\"%28-%283%2F2%29+%2B-+sqrt%28%289%2F4%29-%28-2%2F2%29%29%29%2F%282%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3%2F2%29+%2B-+sqrt%28%289%2F4%29%2B1%29%29%2F1 ALIGN=MIDDLE  ALT=\"%28-3%2F2%29+%2B-+sqrt%28%289%2F4%29%2B1%29%29%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3%2F2%29+%2B-+sqrt%28%289%2F4%29%2B1%284%2F4%29%29 ALIGN=MIDDLE  ALT=\"%28-3%2F2%29+%2B-+sqrt%28%289%2F4%29%2B1%284%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3%2F2%29+%2B-+sqrt%2813%2F4%29 ALIGN=MIDDLE  ALT=\"%28-3%2F2%29+%2B-+sqrt%2813%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3%2F2%29+%2B-+%28sqrt%2813%29%2F2%29 ALIGN=MIDDLE  ALT=\"%28-3%2F2%29+%2B-+%28sqrt%2813%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-3%29%2B-+sqrt%2813%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28%28-3%29%2B-+sqrt%2813%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".....................<BR>\n" );
document.write( "Delighted to help.<BR>\n" );
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document.write( "Email: HomeworkHelpers@ReadingBoosters.com	<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );