document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=108322>Question 108322</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me find all real soultions for this equation.<BR>\n" );
document.write( "{{2y^2=15+y}}}\r<BR>\n" );
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document.write( "The teacher said there are two answers which are 3 and -5/2. I can not get to either of these answers.\r<BR>\n" );
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document.write( "Thank you  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #78958 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=78958\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%5E2=15%2By ALIGN=MIDDLE  ALT=\"2y%5E2=15%2By\"   DISABLED_style= \"max-width:90%; height:auto;\" >....move all terms to the left\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%5E2+-+y+-+15+=+0 ALIGN=MIDDLE  ALT=\"2y%5E2+-+y+-+15+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now use quadratic formula:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%2C2%5D=%28-b+%2B-+sqrt+%28b%5E2+-4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29 ALIGN=MIDDLE  ALT=\"y%5B1%2C2%5D=%28-b+%2B-+sqrt+%28b%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( "your <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+2 ALIGN=MIDDLE  ALT=\"a+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+-1 ALIGN=MIDDLE  ALT=\"b+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+-15 ALIGN=MIDDLE  ALT=\"c+=+-15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, you will have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%2C2%5D=%28-%28-1%29+%2B-+sqrt+%28%28-1%29%5E2+-4%2A2%2A%28-15%29+%29%29+%2F+%282%2A2%29 ALIGN=MIDDLE   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=y%5B1%2C2%5D=%281+%2B-+sqrt+%281+%2B120+%29%29+%2F+4 ALIGN=MIDDLE  ALT=\"y%5B1%2C2%5D=%281+%2B-+sqrt+%281+%2B120+%29%29+%2F+4\"   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=y%5B1%2C2%5D=%281+%2B-+sqrt+%28121+%29%29+%2F+4 ALIGN=MIDDLE  ALT=\"y%5B1%2C2%5D=%281+%2B-+sqrt+%28121+%29%29+%2F+4\"   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=y%5B1%2C2%5D=%281+%2B-+%2811+%29%29+%2F+4 ALIGN=MIDDLE  ALT=\"y%5B1%2C2%5D=%281+%2B-+%2811+%29%29+%2F+4\"   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=y%5B1%5D=%281+%2B+%2811+%29%29+%2F+4 ALIGN=MIDDLE  ALT=\"y%5B1%5D=%281+%2B+%2811+%29%29+%2F+4\"   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=y%5B1%5D=12+%2F+4 ALIGN=MIDDLE  ALT=\"y%5B1%5D=12+%2F+4\"   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=y%5B1%5D=+3 ALIGN=MIDDLE  ALT=\"y%5B1%5D=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >....first answer\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B2%5D=%281+-+%2811+%29%29+%2F+4 ALIGN=MIDDLE  ALT=\"y%5B2%5D=%281+-+%2811+%29%29+%2F+4\"   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=y%5B2%5D=+-+%2810+%29+%2F+4 ALIGN=MIDDLE  ALT=\"y%5B2%5D=+-+%2810+%29+%2F+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >....divide both <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B2%5D=+-+%285+%29+%2F+2 ALIGN=MIDDLE  ALT=\"y%5B2%5D=+-+%285+%29+%2F+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ....second answer\r<BR>\n" );
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document.write( " </SPAN>\n" );
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