document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=172399>Question 172399</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321233832/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> please help me I'm coming up with crazy answer.\r<BR>\n" );
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document.write( "Determine whether the following equations have a solution or not? Justify your answer.\r<BR>\n" );
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document.write( " (3)1/2y2 - 4y - 7(3)1/2 = 0 \r<BR>\n" );
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document.write( "thank you in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #127314 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=127314\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Note: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%29%5E%281%2F2%29=sqrt%283%29 ALIGN=MIDDLE  ALT=\"%283%29%5E%281%2F2%29=sqrt%283%29\"   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=%283%29%5E%281%2F2%29y%5E2+-+4y+-+7%283%29%5E%281%2F2%29y+=+0 ALIGN=MIDDLE  ALT=\"%283%29%5E%281%2F2%29y%5E2+-+4y+-+7%283%29%5E%281%2F2%29y+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > also looks like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29y%5E2+-+4y+-+7sqrt%283%29y+=+0 ALIGN=MIDDLE  ALT=\"sqrt%283%29y%5E2+-+4y+-+7sqrt%283%29y+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "From <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29y%5E2+-+4y+-+7sqrt%283%29y ALIGN=MIDDLE  ALT=\"sqrt%283%29y%5E2+-+4y+-+7sqrt%283%29y\"   DISABLED_style= \"max-width:90%; height:auto;\" > we can see that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=sqrt%283%29 ALIGN=MIDDLE  ALT=\"a=sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-4 ALIGN=MIDDLE  ALT=\"b=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=7sqrt%283%29 ALIGN=MIDDLE  ALT=\"c=7sqrt%283%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=D=b%5E2-4ac ALIGN=MIDDLE  ALT=\"D=b%5E2-4ac\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the discriminant formula.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=%28-4%29%5E2-4%28sqrt%283%29%29%28-7sqrt%283%29%29 ALIGN=MIDDLE  ALT=\"D=%28-4%29%5E2-4%28sqrt%283%29%29%28-7sqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=sqrt%283%29 ALIGN=MIDDLE  ALT=\"a=sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-4 ALIGN=MIDDLE  ALT=\"b=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=7sqrt%283%29 ALIGN=MIDDLE  ALT=\"c=7sqrt%283%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=D=16-4%28sqrt%283%29%29%28-7sqrt%283%29%29 ALIGN=MIDDLE  ALT=\"D=16-4%28sqrt%283%29%29%28-7sqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4 ALIGN=MIDDLE  ALT=\"-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16 ALIGN=MIDDLE  ALT=\"16\"   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=D=16%2B84 ALIGN=MIDDLE  ALT=\"D=16%2B84\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%28sqrt%283%29%29%28-7sqrt%283%29%29 ALIGN=MIDDLE  ALT=\"-4%28sqrt%283%29%29%28-7sqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4%29%2A%28-7%29%2Asqrt%283%2A3%29=28%2Asqrt%289%29=28%2A3=84 ALIGN=MIDDLE  ALT=\"%28-4%29%2A%28-7%29%2Asqrt%283%2A3%29=28%2Asqrt%289%29=28%2A3=84\"   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=D=100 ALIGN=MIDDLE  ALT=\"D=100\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add\r<BR>\n" );
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document.write( "Since the discriminant is greater than zero, this means that there are two real solutions.<BR>\n" );
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