document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=313091>Question 313091</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hello, i am working on this math problem and i am not sure if i am solving it the right way or not. this is what i have done so far:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=%28x-1%29%28x-5%29 ALIGN=MIDDLE  ALT=\"Y=%28x-1%29%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-x-5x%2B5 ALIGN=MIDDLE  ALT=\"x%5E2-x-5x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-7x%2B5 ALIGN=MIDDLE  ALT=\"x%5E2-7x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "x=-2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2%29%5E2-7%28-2%29%2B5=Y ALIGN=MIDDLE  ALT=\"%28-2%29%5E2-7%28-2%29%2B5=Y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2B14%2B5=Y ALIGN=MIDDLE  ALT=\"4%2B14%2B5=Y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "23=Y\r<BR>\n" );
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document.write( "vertex=(-2,23) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #223905 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=223905\">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=%28x-1%29%28x-5%29 ALIGN=MIDDLE  ALT=\"Y=%28x-1%29%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-x-5x%2B5 ALIGN=MIDDLE  ALT=\"x%5E2-x-5x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When you FOIL it will be<BR>\n" );
document.write( " x^2 - 5x - x + 5, (essentially the same as you had)<BR>\n" );
document.write( "then combining the middle terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+6x+%2B+5 ALIGN=MIDDLE  ALT=\"x%5E2+-+6x+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "x=-2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2%29%5E2+-6%28-2%29+%2B+5+=+Y ALIGN=MIDDLE  ALT=\"%28-2%29%5E2+-6%28-2%29+%2B+5+=+Y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+%2B+12+%2B+5+=+Y ALIGN=MIDDLE  ALT=\"4+%2B+12+%2B+5+=+Y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "y = 21\r<BR>\n" );
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document.write( "vertex=(-2,21)<BR>\n" );
document.write( "This is not the vertex, just an ordered pair<BR>\n" );
document.write( ":<BR>\n" );
document.write( "To find the vertex, find the axis of symmetry, x = -b/(2a); b=-6; a=1<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-%28-6%29%29%2F%282%2A1%29 ALIGN=MIDDLE  ALT=\"%28-%28-6%29%29%2F%282%2A1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F2 ALIGN=MIDDLE  ALT=\"6%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 3 is the axis of symmetry<BR>\n" );
document.write( "Find the value of y using x=3<BR>\n" );
document.write( "y = 3^2 - 6(3) + 5<BR>\n" );
document.write( "y = 9 - 18 + 5<BR>\n" );
document.write( "y = -4<BR>\n" );
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document.write( "The vertex: 3,-4<BR>\n" );
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document.write( "Looks like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+10%2C+-10%2C+10%2C+x%5E2-6x%2B5%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+10%2C+-10%2C+10%2C+x%5E2-6x%2B5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );