document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30334>Question 30334</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question:<BR>\n" );
document.write( "What can you say about the solutions of this nonlinear system?<BR>\n" );
document.write( "y=4x^2+4<BR>\n" );
document.write( "y=2x^2-4\r<BR>\n" );
document.write( "\n" );
document.write( "(a) the system has no solution<BR>\n" );
document.write( "(b) the system has two real solutions<BR>\n" );
document.write( "(c) the system had two imaginary solutions<BR>\n" );
document.write( "(d) the system has on solution of multiplicity 2. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17008 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=17008\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+4x%5E2+%2B+4 ALIGN=MIDDLE  ALT=\"y+=+4x%5E2+%2B+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >        <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2x%5E2+-+4 ALIGN=MIDDLE  ALT=\"y+=+2x%5E2+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "subtract the 2nd from the 1st<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+4%2AX%5E2+%2B+4+-+2%2Ax%5E2+%2B+4 ALIGN=MIDDLE  ALT=\"0+=+4%2AX%5E2+%2B+4+-+2%2Ax%5E2+%2B+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ax%5E2+%2B+8+=+0 ALIGN=MIDDLE  ALT=\"2%2Ax%5E2+%2B+8+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%28x%5E2+%2B+4%29+=+0 ALIGN=MIDDLE  ALT=\"2%2A%28x%5E2+%2B+4%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide both sides by 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+4+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+0%2B-+sqrt%28-4%29%29+ ALIGN=MIDDLE  ALT=\"x+=+0%2B-+sqrt%28-4%29%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+=+%2B%28sqrt%284%29+%2A+sqrt%28-1%29%29 ALIGN=MIDDLE  ALT=\"x+=+%2B%28sqrt%284%29+%2A+sqrt%28-1%29%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+=+%2B2%2Ai ALIGN=MIDDLE  ALT=\"x+=+%2B2%2Ai\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "also<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-%28sqrt%284%29+%2A+sqrt%28-1%29%29 ALIGN=MIDDLE  ALT=\"x+=+-%28sqrt%284%29+%2A+sqrt%28-1%29%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+=+-2%2Ai ALIGN=MIDDLE  ALT=\"x+=+-2%2Ai\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so, the answer is (c), the system has 2 imaginary solutions <BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );