document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=173959>Question 173959</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618163832/algebrahomeworkh>algebra 1 concepts and skill</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help me find the solution for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B20x ALIGN=MIDDLE  ALT=\"x%5E2%2B20x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "your help is greatly appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #128857 by </B><A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><B>Electrified_Levi(103)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><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=128857\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, Hope I can help,<BR>\n" );
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document.write( "Can you please help me find the solution for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B20x ALIGN=MIDDLE  ALT=\"x%5E2%2B20x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "your help is greatly appreciated.<BR>\n" );
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document.write( "I believe this is the equation, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B20x+=+0+ ALIGN=MIDDLE  ALT=\"x%5E2%2B20x+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "For this equation, we can just factor this polynomial, and find the solutions<BR>\n" );
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document.write( "We can factor out an \"x\"<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B20x+=+0+ ALIGN=MIDDLE  ALT=\"x%5E2%2B20x+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%28x%2B20%29+=+0+ ALIGN=MIDDLE  ALT=\"+x%28x%2B20%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "There are two solutions, so we have two equations, we have to let both of the factors equal \"0\", then solve for \"x\"<BR>\n" );
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document.write( "(x), <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+0+ ALIGN=MIDDLE  ALT=\"+x+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+0+ ALIGN=MIDDLE  ALT=\"+x+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is our first answer<BR>\n" );
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document.write( "(x+20), <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2B20+=+0+ ALIGN=MIDDLE  ALT=\"+x%2B20+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+20+-+20+=+0+-+20+ ALIGN=MIDDLE  ALT=\"+x+%2B+20+-+20+=+0+-+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-20+ ALIGN=MIDDLE  ALT=\"+x+=+-20+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this is our second answer<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+0+ ALIGN=MIDDLE  ALT=\"+x+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-20+ ALIGN=MIDDLE  ALT=\"+x+=+-20+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, are your two solutions<BR>\n" );
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document.write( "You can always use the quadratic equation<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B20x+=+0+ ALIGN=MIDDLE  ALT=\"x%5E2%2B20x+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you can also say <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B20x+%2B+0+=+0+ ALIGN=MIDDLE  ALT=\"x%5E2%2B20x+%2B+0+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B20x+%2B+0+=+0+ ALIGN=MIDDLE  ALT=\"x%5E2%2B20x+%2B+0+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, quadratic equations are given in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx+%2B+c+=+0+ ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx+%2B+c+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Quadratic equation = <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" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B20x+%2B+0+=+0+ ALIGN=MIDDLE  ALT=\"x%5E2%2B20x+%2B+0+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx+%2B+c+=+0+ ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx+%2B+c+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Our equation<BR>\n" );
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document.write( "a = 1<BR>\n" );
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document.write( "b = 20<BR>\n" );
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document.write( "c = 0<BR>\n" );
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document.write( "Now just replace the letters with the numbers<BR>\n" );
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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;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%2820%29+%2B-+sqrt%28+%2820%29%5E2-4%2A%281%29%2A%280%29+%29%29%2F%282%2A%281%29%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-%2820%29+%2B-+sqrt%28+%2820%29%5E2-4%2A%281%29%2A%280%29+%29%29%2F%282%2A%281%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-20+%2B-+sqrt%28+400-0+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-20+%2B-+sqrt%28+400-0+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-20+%2B-+sqrt%28+400%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-20+%2B-+sqrt%28+400%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-20+%2B-+20%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-20+%2B-+20%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-20+%2B+20%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-20+%2B+20%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+0%2F2+ ALIGN=MIDDLE  ALT=\"x+=+0%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+0+ ALIGN=MIDDLE  ALT=\"+x+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-20+-+20%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-20+-+20%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28-40%29%2F2+ ALIGN=MIDDLE  ALT=\"+x+=+%28-40%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-20+ ALIGN=MIDDLE  ALT=\"+x+=+-20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+0+ ALIGN=MIDDLE  ALT=\"+x+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-20+ ALIGN=MIDDLE  ALT=\"+x+=+-20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > are your two solutions<BR>\n" );
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document.write( "Hope I helped, Levi </SPAN>\n" );
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