document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=93704>Question 93704</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0866099654/algebrahomeworkh>Geometry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help me find the value of x in this equation.<BR>\n" );
document.write( "x^2+2x=8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #68251 by </B><A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><B>praseenakos@yahoo.com(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><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=praseenakos@yahoo.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=68251\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question:\r<BR>\n" );
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document.write( "Please help me find the value of x in this equation.<BR>\n" );
document.write( "x^2+2x=8\r<BR>\n" );
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document.write( "Answer :\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+2x+=+8+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+2x+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract 8 from both sides( then it will be in the standard 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=+x%5E2+%2B+2x++-+8+=+8+-+8++ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+2x++-+8+=+8+-+8++\"   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+%2B+2x+-+8+=+0+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+2x+-+8+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can solve it by using quadratic formula as well as splitting the middle term.\r<BR>\n" );
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document.write( "Method of splitting middle term:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+2x+-+8+=+0+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+2x+-+8+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Here you need to find out two numbers whose sum is +2 (coefficient of x) and whose product is -8( that is the constant term)\r<BR>\n" );
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document.write( "Such two numbers are +4 and -2\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+4x-+2x+-+8+=+0+ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+4x-+2x+-+8+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now group the terms.\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%5E2+%2B+4x%29+-+%282x+%2B+8+%29=+0+ ALIGN=MIDDLE  ALT=\"+%28x%5E2+%2B+4x%29+-+%282x+%2B+8+%29=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now take out the common terms from each group.\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%28x++%2B+4+%29+-+2%28+x+%2B+4%29=+0+ ALIGN=MIDDLE  ALT=\"+x%28x++%2B+4+%29+-+2%28+x+%2B+4%29=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Here (x + 4 ) is common in both the groups, so you can take it outside...\r<BR>\n" );
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document.write( "==> (x + 4 ) ( x - 2) = 0\r<BR>\n" );
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document.write( "==> either (x + 4 ) = 0 or  ( x - 2) = 0\r<BR>\n" );
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document.write( "==> (x + 4 ) = 0 ==> x = -4 and \r<BR>\n" );
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document.write( " ( x - 2) = 0  ==> x = 2\r<BR>\n" );
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document.write( "So the value of  x is  either <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4 ALIGN=MIDDLE  ALT=\"-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hope you found the explanation useful.\r<BR>\n" );
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document.write( "Regards.\r<BR>\n" );
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document.write( "Praseena.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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