document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=14442>Question 14442</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In school i lerned how to slove the quadratic equations by spliting it into seperate fractions . I never learned  to slove the way they slove it on www.algebra.com . My question is there a section in this site to pratice questions my way or can you teach me to learn the way they slove it on this site <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 #7239 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=7239\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From your story, it appears that you have learned to solve quadratic equations by factoring. This is only one of a few ways to solve these type of equations.  The difficulty arises when the equation is not readily factorable.\r<BR>\n" );
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document.write( "A quadratic equation can always be solved by use of the \"quadratic formula\".  While it may look a little formidable, its derivation is not difficult, and it is quite easy to apply if you remember to put you quadratic equation into the \"standard form: <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;\" >\r<BR>\n" );
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document.write( "The quadratic formula is:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b%2B-sqrt%28b%5E2+-+4ac%29%29%2F2a ALIGN=MIDDLE  ALT=\"x+=+%28-b%2B-sqrt%28b%5E2+-+4ac%29%29%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let's solve an example quadratic equation using this formula:\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;\" >  This already in the standard form, so: a = 1, b = 2, and c = -8  Substitute these values into their corresponding places in the formula.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-2%2B-sqrt%282%5E2+-+4%281%29%28-8%29%29%29%2F2%281%29 ALIGN=MIDDLE  ALT=\"x+=+%28-2%2B-sqrt%282%5E2+-+4%281%29%28-8%29%29%29%2F2%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now perform the indicated arithmetic to solve for x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-2%2B-sqrt%284%2B32%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%28-2%2B-sqrt%284%2B32%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-2%2B-sqrt%2836%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%28-2%2B-sqrt%2836%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-2%2F2%29%2B%286%2F2%29 ALIGN=MIDDLE  ALT=\"x+=+%28-2%2F2%29%2B%286%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and/or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-2%2F2%29-%286%2F2%29 ALIGN=MIDDLE  ALT=\"x+=+%28-2%2F2%29-%286%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=x+=+-1+%2B+3 ALIGN=MIDDLE  ALT=\"x+=+-1+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and/or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1+-+3 ALIGN=MIDDLE  ALT=\"x+=+-1+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2 ALIGN=MIDDLE  ALT=\"x+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and/or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-4 ALIGN=MIDDLE  ALT=\"x+=+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "As a check, we can also solve this equation by factoring:\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;\" > Factor.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+2%29%28x+%2B+4%29+=+0 ALIGN=MIDDLE  ALT=\"%28x+-+2%29%28x+%2B+4%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero products principle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+2%29+=+0 ALIGN=MIDDLE  ALT=\"%28x+-+2%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and/or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+4%29+=+0 ALIGN=MIDDLE  ALT=\"%28x+%2B+4%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+2+=+0 ALIGN=MIDDLE  ALT=\"x+-+2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2 ALIGN=MIDDLE  ALT=\"x+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+4+=+0 ALIGN=MIDDLE  ALT=\"x+%2B+4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-4 ALIGN=MIDDLE  ALT=\"x+=+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2 ALIGN=MIDDLE  ALT=\"x+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and/or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-4 ALIGN=MIDDLE  ALT=\"x+=+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >   </SPAN>\n" );
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