document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=37567>Question 37567</A>: <I><SPAN STYLE=\"word-break: break-all;\"> s^2+6s+25= solve for Solution sets\r<BR>\n" );
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document.write( "2x^2-9x=1 <BR>\n" );
document.write( "solve for x\r<BR>\n" );
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document.write( "Can you show me how you find the answer, not just the answer? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #23210 by </B><A HREF=/tutors/aboutme.mpl?userid=junior403><B>junior403(76)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=junior403><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=23210\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> s^2+6s+25= solve for Solution sets<BR>\n" );
document.write( "The s^2 indicates there will be 2 solutions.<BR>\n" );
document.write( "Besure that the quadratic equation is equal to zero.<BR>\n" );
document.write( "Use quadratic formula to solve.<BR>\n" );
document.write( "In this case...<BR>\n" );
document.write( "s^2+6s+25=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=%28-b%2B-sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29 ALIGN=MIDDLE  ALT=\"s=%28-b%2B-sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "ax^2+bx+c=0<BR>\n" );
document.write( "plug in your variables<BR>\n" );
document.write( "a=1 b=6 c=25<BR>\n" );
document.write( "So...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=%28-6%2B-sqrt%286%5E2-4%2A1%2A25%29%29%2F%282%2A1%29 ALIGN=MIDDLE  ALT=\"s=%28-6%2B-sqrt%286%5E2-4%2A1%2A25%29%29%2F%282%2A1%29\"   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=s=%28-6%2B-sqrt%2836-100%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"s=%28-6%2B-sqrt%2836-100%29%29%2F%282%29\"   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=s=%28-6%2B-sqrt%28-64%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"s=%28-6%2B-sqrt%28-64%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The negative number beneith the radical will result in an imaginary expression.<BR>\n" );
document.write( "Thus...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=%28-6%2B-+i%2A+sqrt%2864%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"s=%28-6%2B-+i%2A+sqrt%2864%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=%28-6%2B-+i%2A+8%29%2F%282%29 ALIGN=MIDDLE  ALT=\"s=%28-6%2B-+i%2A+8%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=%28-6%2B-+8i%29%2F%282%29 ALIGN=MIDDLE  ALT=\"s=%28-6%2B-+8i%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Remember, first factor out the 2 in the numerator and then cancel...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=%282%2A-3%2B-+4i%29%2F%282%29 ALIGN=MIDDLE  ALT=\"s=%282%2A-3%2B-+4i%29%2F%282%29\"   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=s=%28-3%2B-+4i%29 ALIGN=MIDDLE  ALT=\"s=%28-3%2B-+4i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the solution set is...<BR>\n" );
document.write( "{-3+4i,-3-4i}\r<BR>\n" );
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document.write( "So for the equation...<BR>\n" );
document.write( "2x^2-9x=1   <BR>\n" );
document.write( "Use the same process first making equation equal to zero.<BR>\n" );
document.write( "So...<BR>\n" );
document.write( "2x^2-9x=1 (subtract 1 from both sides of the equation then begin)\r<BR>\n" );
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document.write( "2x^2-9x-1=0<BR>\n" );
document.write( "Again x^2 indicates 2 solutions<BR>\n" );
document.write( "Use quadratic formula by plugging in indicated variables <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a=2 b=-9 c=-1 (remember -b means the OPPOSITE of the value of b)<BR>\n" );
document.write( "So...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%289+%2B-+sqrt%28+-9%5E2-4%2A2%2A-1+%29%29%2F%282%2A2%29+ ALIGN=MIDDLE  ALT=\"x+=+%289+%2B-+sqrt%28+-9%5E2-4%2A2%2A-1+%29%29%2F%282%2A2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%289+%2B-+sqrt%28+81%2B8+%29%29%2F%284%29+ ALIGN=MIDDLE  ALT=\"x+=+%289+%2B-+sqrt%28+81%2B8+%29%29%2F%284%29+\"   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+=+%289+%2B-+sqrt%28+89+%29%29%2F%284%29+ ALIGN=MIDDLE  ALT=\"x+=+%289+%2B-+sqrt%28+89+%29%29%2F%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "89 is aprime number so there is no square root.<BR>\n" );
document.write( "So you final result is the solution set...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289+%2B+sqrt%28+89+%29%29%2F%284%29 ALIGN=MIDDLE  ALT=\"%289+%2B+sqrt%28+89+%29%29%2F%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289+-+sqrt%28+89+%29%29%2F%284%29 ALIGN=MIDDLE  ALT=\"%289+-+sqrt%28+89+%29%29%2F%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );