document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255659>Question 255659</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 80. Find all real or imaginary solutions to each equation. Use the method of your choice. w2=-225\r<BR>\n" );
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document.write( "30. Solve each equation by using the quadratic formula. -3x^2-2x-5=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187881 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=187881\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> #80. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2+=+-225%7D%7D%0D%0Astep+1+-+take+a+sqrt+of+both+sides+to+get%0D%0A%7B%7B%7Bw+=+sqrt%28-225%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "since we have a negative sqrt, we get imaginary answers as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+%2B+or+-+15i ALIGN=MIDDLE  ALT=\"w+=+%2B+or+-+15i\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--<BR>\n" );
document.write( "#30. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%5E2-2x-5=0 ALIGN=MIDDLE  ALT=\"-3x%5E2-2x-5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We can use the quadratic to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%282+%2B+or+-+sqrt%284-4%2A%28-3%29%2A%28-5%29+%29%29%2F6+ ALIGN=MIDDLE  ALT=\"x+=+%282+%2B+or+-+sqrt%284-4%2A%28-3%29%2A%28-5%29+%29%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%282+%2B+or+-+sqrt%28-56%29%29%2F6+ ALIGN=MIDDLE  ALT=\"x+=+%282+%2B+or+-+sqrt%28-56%29%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%282+%2B+or+-+2isqrt%2813%29%29%2F6+ ALIGN=MIDDLE  ALT=\"x+=+%282+%2B+or+-+2isqrt%2813%29%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "finally<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%281+%2B+or+-+isqrt%2813%29%29%2F3 ALIGN=MIDDLE  ALT=\"x+=+%281+%2B+or+-+isqrt%2813%29%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );