document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=107047>Question 107047</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need help solving these quadratic equations using the quadratic formula.<BR>\n" );
document.write( "2x^2 - 5x = 3 \r<BR>\n" );
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document.write( "3x^2 - 2x + 1 = 0<BR>\n" );
document.write( "i am trying to solve for x <BR>\n" );
document.write( "2(x-5)^2 = 3 <BR>\n" );
document.write( "and this queston also i have been trying to figure these out fo an hour. <BR>\n" );
document.write( "x^2 + 4x + 4 = 7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77892 by </B><A HREF=/tutors/aboutme.mpl?userid=Annabelle1><B>Annabelle1(69)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Annabelle1><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=77892\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> lets start with 2x^2 - 5x = 3\r<BR>\n" );
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document.write( "we have to bring everything together to one side of the equals sign. we get<BR>\n" );
document.write( "2x^2 - 5x -3=0\r<BR>\n" );
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document.write( "the coeffiecient of x^2 (2) is our a (a=2)\r<BR>\n" );
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document.write( "the coeffiecient of x   (-5) is our b (b=-5)\r<BR>\n" );
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document.write( "the constant is -3                     (c=-3)    \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%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;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28%285+%2B-+sqrt%2849%29%29%2F4+ ALIGN=MIDDLE  ALT=\"x=%28%285+%2B-+sqrt%2849%29%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5+%2B-1.75 ALIGN=MIDDLE  ALT=\"x=5+%2B-1.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x=6.75 or x= 3.25\r<BR>\n" );
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document.write( "The next one is 3x^2 - 2x + 1 = 0<BR>\n" );
document.write( "here a=3 b= -2 and c=1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-2%29+%2B-+sqrt%28+%28-2%29%5E2-4%2A3%2A%281%29+%29%29%2F%282%2A3%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-%28-2%29+%2B-+sqrt%28+%28-2%29%5E2-4%2A3%2A%281%29+%29%29%2F%282%2A3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "this one has a negative under the square root sign so there is no solution ( the graph never crosses the x axis)\r<BR>\n" );
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document.write( "Next....<BR>\n" );
document.write( "2(x-5)^2 = 3\r<BR>\n" );
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document.write( "expand this out first\r<BR>\n" );
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document.write( "we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%5E2-10x%2B25%29=3 ALIGN=MIDDLE  ALT=\"2%28x%5E2-10x%2B25%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-20x%2B50-3=0 ALIGN=MIDDLE  ALT=\"2x%5E2-20x%2B50-3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-20x%2B47=0 ALIGN=MIDDLE  ALT=\"2x%5E2-20x%2B47=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a=2 b=-20 c=47\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-20%29+%2B-+sqrt%28+%28-20%29%5E2-4%2A2%2A%2847%29+%29%29%2F%282%2A2%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-%28-20%29+%2B-+sqrt%28+%28-20%29%5E2-4%2A2%2A%2847%29+%29%29%2F%282%2A2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "you simplify from here\r<BR>\n" );
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document.write( "Hope these have helped\r<BR>\n" );
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document.write( " </SPAN>\n" );
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