document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=168786>Question 168786</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I asked the same question ealier and got an answer to try it instead of helping. Can someone please help me find what I am doing wrong. \r<BR>\n" );
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document.write( "y^2-6y+9\r<BR>\n" );
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document.write( "I got(y-3)^2 but I dont come out to the same thing when I plug in the answer I dont get the +9. I also came up with(y+3)^2 but still dont get -6y.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #124437 by </B><A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><B>Electrified_Levi(103)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><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=124437\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, Hope I can help,<BR>\n" );
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document.write( "If you are wanting us to solve this quadratic equation, here is how you do it.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5E2-6y%2B+9+ ALIGN=MIDDLE  ALT=\"+y%5E2-6y%2B+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The easiest way you can solve this is by factoring, in this case we can<BR>\n" );
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document.write( "First we need to write the \"y\"'s in parentheses<BR>\n" );
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document.write( "It is only \"y\" squared so there will be two \"y\"'s<BR>\n" );
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document.write( "( y   )(y   )<BR>\n" );
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document.write( "Next, we need to find the rest of the factors of this quadratic<BR>\n" );
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document.write( "If the factors of the third term, in this case \"9\", add up to the middle term( in this case (-6)), it can be factored<BR>\n" );
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document.write( "factors of \"9\" added together<BR>\n" );
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document.write( "(9) + (1) = 10<BR>\n" );
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document.write( "(-9) + (-1) = (-10)<BR>\n" );
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document.write( "(3) + (3) = 6<BR>\n" );
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document.write( "(-3) + (-3) = (-6)<BR>\n" );
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document.write( "The last pair of factors add up to the middle term<BR>\n" );
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document.write( "Now we will put the factors in the parentheses with the \"y\"'s<BR>\n" );
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document.write( "( y   )(y   ) = (y - 3 )(y - 3 )<BR>\n" );
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document.write( "This is the factored quadratic<BR>\n" );
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document.write( "( y - 3 )(y - 3 ) = 0, you can check by using the FOIL method ( First, Inner, Outer, Last )<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y+-+3+%29%28y+-+3+%29+ ALIGN=MIDDLE  ALT=\"+%28+y+-+3+%29%28y+-+3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = (F) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+highlight%28y%29+-+3+%29%28highlight%28y%29+-+3+%29+ ALIGN=MIDDLE  ALT=\"+%28+highlight%28y%29+-+3+%29%28highlight%28y%29+-+3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = (O) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+highlight%28y%29+-+3+%29%28y+-+highlight%283%29+%29+ ALIGN=MIDDLE  ALT=\"+%28+highlight%28y%29+-+3+%29%28y+-+highlight%283%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = (I) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y+-+highlight%283%29+%29%28highlight%28y%29+-+3+%29+ ALIGN=MIDDLE  ALT=\"+%28+y+-+highlight%283%29+%29%28highlight%28y%29+-+3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = (L) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y+-+highlight%283%29+%29%28y+-+highlight%283%29+%29+ ALIGN=MIDDLE  ALT=\"+%28+y+-+highlight%283%29+%29%28y+-+highlight%283%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, Remember the negative signs on the \"3's\"<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5E2+-+3y+-+3y+%2B+9+ ALIGN=MIDDLE  ALT=\"+y%5E2+-+3y+-+3y+%2B+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, combine the like terms, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28y%5E2%29+highlight%28-+3y+-+3y%29+%2B+9+ ALIGN=MIDDLE  ALT=\"+%28y%5E2%29+highlight%28-+3y+-+3y%29+%2B+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (forget about the multiplication sign, it is just being weird) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5E2+-+6y+%2B+9+ ALIGN=MIDDLE  ALT=\"+y%5E2+-+6y+%2B+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( True )<BR>\n" );
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document.write( " now we take each of the factors and have them equal \"0\", then solve for \"y\"<BR>\n" );
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document.write( "First factor = ( y - 3 )<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y+-+3+%29+=+0+ ALIGN=MIDDLE  ALT=\"+%28+y+-+3+%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, removing the parentheses<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++y+-+3++=+0+ ALIGN=MIDDLE  ALT=\"++y+-+3++=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, moving (-3) to the right side<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++y+-+3+%2B+3++=+0+%2B+3+ ALIGN=MIDDLE  ALT=\"++y+-+3+%2B+3++=+0+%2B+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+3+ ALIGN=MIDDLE  ALT=\"+y+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+3+ ALIGN=MIDDLE  ALT=\"+y+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the other factor is the same, so we would get the same answer.<BR>\n" );
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document.write( "your answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+3+ ALIGN=MIDDLE  ALT=\"+y+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you can check by replacing \"y\" with \"3\" in the original equation<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5E2-6y%2B+9+=+0+ ALIGN=MIDDLE  ALT=\"+y%5E2-6y%2B+9+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283%29%5E2-6%283%29%2B+9+=+0+ ALIGN=MIDDLE  ALT=\"+%283%29%5E2-6%283%29%2B+9+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289%29-%2818%29%2B+9+=+0+ ALIGN=MIDDLE  ALT=\"+%289%29-%2818%29%2B+9+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-9%29+%2B+9+=+0+ ALIGN=MIDDLE  ALT=\"+%28-9%29+%2B+9+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+0+ ALIGN=MIDDLE  ALT=\"+0+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( True )<BR>\n" );
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document.write( "You can also use the quadratic formula, for every quadratic equation, make sure your equation is in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+ax%5E2+%2B+bx+%2B+c+=+0+ ALIGN=MIDDLE  ALT=\"+ax%5E2+%2B+bx+%2B+c+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( in this case \"y\" ) it is<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5E2-6y%2B+9+ ALIGN=MIDDLE  ALT=\"+y%5E2-6y%2B+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "a = 1<BR>\n" );
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document.write( "b = -6<BR>\n" );
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document.write( "c = 9<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"y+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-%28-6%29+%2B-+sqrt%28+%28-6%29%5E2-4%2A%281%29%2A%289%29+%29%29%2F%282%2A%281%29%29+ ALIGN=MIDDLE  ALT=\"y+=+%28-%28-6%29+%2B-+sqrt%28+%28-6%29%5E2-4%2A%281%29%2A%289%29+%29%29%2F%282%2A%281%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28+6+%2B-+sqrt%28+%2836%29-36+%29%29%2F%282%29%29+ ALIGN=MIDDLE  ALT=\"y+=+%28+6+%2B-+sqrt%28+%2836%29-36+%29%29%2F%282%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28+6+%2B-+sqrt+%280%29%29%2F%282%29%29+ ALIGN=MIDDLE  ALT=\"y+=+%28+6+%2B-+sqrt+%280%29%29%2F%282%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28+6+%2B-+0%29%2F%282%29%29+ ALIGN=MIDDLE  ALT=\"y+=+%28+6+%2B-+0%29%2F%282%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28+6+%2F2%29+ ALIGN=MIDDLE  ALT=\"y+=+%28+6+%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+3+ ALIGN=MIDDLE  ALT=\"y+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Your answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+3+ ALIGN=MIDDLE  ALT=\"+y+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope I helped, Levi </SPAN>\n" );
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