document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=3457>Question 3457</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have these six problems that I need to work and can't remember what to do.<BR>\n" );
document.write( "1. x^2-4=0<BR>\n" );
document.write( "2. x^2+x=0<BR>\n" );
document.write( "3. x^2+7x+12=0<BR>\n" );
document.write( "4. x^2+5x=-4<BR>\n" );
document.write( "5. 3x^2+5x-10=0<BR>\n" );
document.write( "6. 4x^2+3x+8=0<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #1538 by </B><A HREF=/tutors/aboutme.mpl?userid=AnlytcPhil><B>AnlytcPhil(1806)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=AnlytcPhil><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=AnlytcPhil><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=1538\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I have these six problems that I need to work and can't remember what to do.\r<BR>\n" );
document.write( "\n" );
document.write( " 1. x²-4=0 <BR>\n" );
document.write( "  <BR>\n" );
document.write( "Factor the LHS as the difference of two perfect squares<BR>\n" );
document.write( " <BR>\n" );
document.write( "  (x-2)(x+2) = 0<BR>\n" );
document.write( "   <BR>\n" );
document.write( "Set each factor = 0\r<BR>\n" );
document.write( "\n" );
document.write( " x-2 = 0, or x = 2<BR>\n" );
document.write( " x+2 = 0, or x = -2\r<BR>\n" );
document.write( "\n" );
document.write( "--------------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "2. x²+x=0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Factor the LHS by factoring out x<BR>\n" );
document.write( "   x(x-2)\r<BR>\n" );
document.write( "\n" );
document.write( "Set each factor = 0\r<BR>\n" );
document.write( "\n" );
document.write( "    x=0,<BR>\n" );
document.write( "    x-3 = 0, or x = 3\r<BR>\n" );
document.write( "\n" );
document.write( "--------------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "3. x²+7x+12=0 \r<BR>\n" );
document.write( "\n" );
document.write( "Factor the LHS by thinking of two positive integers that have product<BR>\n" );
document.write( "12 and sum 7, they are 4 and 3.<BR>\n" );
document.write( " <BR>\n" );
document.write( "  (x+4)(x+3) = 0<BR>\n" );
document.write( "   <BR>\n" );
document.write( "Set each factor = 0\r<BR>\n" );
document.write( "\n" );
document.write( " x+4 = 0, or x = 4<BR>\n" );
document.write( " x+3 = 0, or x = 3\r<BR>\n" );
document.write( "\n" );
document.write( "-----------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "4. x²+5x=-4\r<BR>\n" );
document.write( "\n" );
document.write( " Get 0 on the right by adding 4 to both sides:\r<BR>\n" );
document.write( "\n" );
document.write( "   x²+5x+4 = 0\r<BR>\n" );
document.write( "\n" );
document.write( "Factor the LHS by thinking of two positive intergers that have product<BR>\n" );
document.write( "4 and sum 5, they are 4 and 1.<BR>\n" );
document.write( " <BR>\n" );
document.write( "  (x+4)(x+3) = 0<BR>\n" );
document.write( "   <BR>\n" );
document.write( "Set each factor = 0\r<BR>\n" );
document.write( "\n" );
document.write( " x+4 = 0, or x = 4<BR>\n" );
document.write( " x+3 = 0, or x = 3\r<BR>\n" );
document.write( "\n" );
document.write( "--------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( " 5. 3x²+5x-10=0 \r<BR>\n" );
document.write( "\n" );
document.write( "That won't factor so you have to use the quadratic formula\r<BR>\n" );
document.write( "\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5+%2B-+sqrt%28+5%5E2-4%2A3%2A-10+%29%29%2F%282%2A3%29+ ALIGN=MIDDLE  ALT=\"%28-5+%2B-+sqrt%28+5%5E2-4%2A3%2A-10+%29%29%2F%282%2A3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5+%2B-+sqrt%28+145%29%29%2F6+ ALIGN=MIDDLE  ALT=\"%28-5+%2B-+sqrt%28+145%29%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "---------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "6. 4x²+3x+8=0 \r<BR>\n" );
document.write( "\n" );
document.write( "That won't factor so you have to use the quadratic formula\r<BR>\n" );
document.write( "\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5+%2B-+sqrt%28+3%5E2-4%2A4%2A8%29%29%2F%282%2A4%29+ ALIGN=MIDDLE  ALT=\"%28-5+%2B-+sqrt%28+3%5E2-4%2A4%2A8%29%29%2F%282%2A4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5+%2B-+sqrt%28-119%29%29%2F8+ ALIGN=MIDDLE  ALT=\"%28-5+%2B-+sqrt%28-119%29%29%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "That won't factor so you have to use the quadratic formula\r<BR>\n" );
document.write( "\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5+%2B-+sqrt%28+5%5E2-4%2A3%2A-10+%29%29%2F%282%2A3%29+ ALIGN=MIDDLE  ALT=\"%28-5+%2B-+sqrt%28+5%5E2-4%2A3%2A-10+%29%29%2F%282%2A3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
document.write( "\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5+%2B-+sqrt%28-145%29%29%2F6+ ALIGN=MIDDLE  ALT=\"%28-5+%2B-+sqrt%28-145%29%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
document.write( "\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5+%2B-+i%2Asqrt%28+145%29%29%2F6+ ALIGN=MIDDLE  ALT=\"%28-5+%2B-+i%2Asqrt%28+145%29%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Edwin </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );