document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=192564>Question 192564</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question 1:\r<BR>\n" );
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document.write( "How many solutions exist for a quadratic equation?  How do we determine whether the solutions are real or complex?\r<BR>\n" );
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document.write( "Question 2:\r<BR>\n" );
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document.write( "Translate the following into a quadratic equation, and solve it:  The length of a rectangular garden is four times its width; if the area of the garden is 196 square meters, what are its dimensions? \r<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 #144571 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=144571\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> D=discriminant =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac ALIGN=MIDDLE  ALT=\"b%5E2-4ac\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc=0 ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "if D>0 2 reals<BR>\n" );
document.write( "if D=0 1 real<BR>\n" );
document.write( "if D<0 2 complex roots<BR>\n" );
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document.write( "let L be the length and W width A=area<BR>\n" );
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document.write( "A=L*W.........eq 1<BR>\n" );
document.write( "L=4W..........eq 2<BR>\n" );
document.write( "A=196.........eq 3<BR>\n" );
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document.write( "take L's value from eq 2 and A's value from eq 3 and plug them into eq 1<BR>\n" );
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document.write( "196=4W(W)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4W%5E2-196=0 ALIGN=MIDDLE  ALT=\"4W%5E2-196=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2-49=0 ALIGN=MIDDLE  ALT=\"W%5E2-49=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >divided by 4<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2=49 ALIGN=MIDDLE  ALT=\"W%5E2=49\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "W=7<BR>\n" );
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document.write( "L=4(7)=28 </SPAN>\n" );
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