document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=639486>Question 639486</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Here is the problem:\r<BR>\n" );
document.write( "\n" );
document.write( "If 3x^2 - 2x + 7 = 0, then (x-1/3)^2 = \r<BR>\n" );
document.write( "\n" );
document.write( "I tried solving for x using the quadratic equation and arrived at 1 +or- 2sqrt(22) / 3.  I'm not sure if this is correct, so could you walk me through it?\r<BR>\n" );
document.write( "\n" );
document.write( "At that point, how could you plug that into (x-1/3)^2?  There is more than one solution to x, so how could you arrive to one answer to that problem?\r<BR>\n" );
document.write( "\n" );
document.write( "If it helps any, here are the possible choices: 20/9, 7/9, -7/9, -8/9, and -20/9 \r<BR>\n" );
document.write( "\n" );
document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #402767 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=402767\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  the possible choices: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F9=2.22 ALIGN=MIDDLE  ALT=\"20%2F9=2.22\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F9=0.77 ALIGN=MIDDLE  ALT=\"7%2F9=0.77\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7%2F9=-0.77%7D%2C+%7B%7B%7B-8%2F9=-0.88 ALIGN=MIDDLE  ALT=\"-7%2F9=-0.77%7D%2C+%7B%7B%7B-8%2F9=-0.88\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-20%2F9=-2.22 ALIGN=MIDDLE  ALT=\"-20%2F9=-2.22\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2+-+2x+%2B+7+=+0 ALIGN=MIDDLE  ALT=\"3x%5E2+-+2x+%2B+7+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%2F3%29%5E2 ALIGN=MIDDLE  ALT=\"%28x-1%2F3%29%5E2\"   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=x+=+%28-%28-2%29+%2B-+sqrt%28+%28-2%29%5E2-4%2A3%2A7+%29%29%2F%282%2A3%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-%28-2%29+%2B-+sqrt%28+%28-2%29%5E2-4%2A3%2A7+%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=x+=+%282+%2B-+sqrt%28+4-84+%29%29%2F6+ ALIGN=MIDDLE  ALT=\"x+=+%282+%2B-+sqrt%28+4-84+%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=x+=+%282+%2B-+sqrt%28+-80%29%29%2F6+ ALIGN=MIDDLE  ALT=\"x+=+%282+%2B-+sqrt%28+-80%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=x+=+%282+%2B-+8.9i%29%2F6+ ALIGN=MIDDLE  ALT=\"x+=+%282+%2B-+8.9i%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "solutions:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%282+%2B8.9i%29%2F6+ ALIGN=MIDDLE  ALT=\"x+=+%282+%2B8.9i%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=x+=+2%2F6+%2B8.9i%2F6+ ALIGN=MIDDLE  ALT=\"x+=+2%2F6+%2B8.9i%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=x+=+0.3333+%2B1.4833i+ ALIGN=MIDDLE  ALT=\"x+=+0.3333+%2B1.4833i+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "or\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%282+-8.9i%29%2F6+ ALIGN=MIDDLE  ALT=\"x+=+%282+-8.9i%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=x+=+2%2F6+-8.9i%2F6+ ALIGN=MIDDLE  ALT=\"x+=+2%2F6+-8.9i%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=x+=+0.3333+-1.4833i+ ALIGN=MIDDLE  ALT=\"x+=+0.3333+-1.4833i+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%2F3%29%5E2 ALIGN=MIDDLE  ALT=\"%28x-1%2F3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+0.3333+%2B1.4833i+ ALIGN=MIDDLE  ALT=\"x+=+0.3333+%2B1.4833i+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  is\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.3333+%2B1.4833i-1%2F3%29%5E2 ALIGN=MIDDLE  ALT=\"%280.3333+%2B1.4833i-1%2F3%29%5E2\"   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=%280.3333+%2B1.4833i-0.33%29%5E2 ALIGN=MIDDLE  ALT=\"%280.3333+%2B1.4833i-0.33%29%5E2\"   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=%28cross%280.3333%29+%2B1.4833i-cross%280.3333%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28cross%280.3333%29+%2B1.4833i-cross%280.3333%29%29%5E2\"   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=%281.4833i%29%5E2 ALIGN=MIDDLE  ALT=\"%281.4833i%29%5E2\"   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=%281.4833%29%5E2%28i%29%5E2 ALIGN=MIDDLE  ALT=\"%281.4833%29%5E2%28i%29%5E2\"   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=%282.2%29%28-1%29 ALIGN=MIDDLE  ALT=\"%282.2%29%28-1%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=highlight%28-2.2%29 ALIGN=MIDDLE  ALT=\"highlight%28-2.2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "and, another solution:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%2F3%29%5E2 ALIGN=MIDDLE  ALT=\"%28x-1%2F3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+0.33+-1.48i+ ALIGN=MIDDLE  ALT=\"x+=+0.33+-1.48i+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  is\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.3333+-1.4833i-1%2F3%29%5E2 ALIGN=MIDDLE  ALT=\"%280.3333+-1.4833i-1%2F3%29%5E2\"   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=%280.3333+-1.4833i-0.3333%29%5E2 ALIGN=MIDDLE  ALT=\"%280.3333+-1.4833i-0.3333%29%5E2\"   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=%28cross%280.3333%29+-1.4833i-cross%280.3333%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28cross%280.3333%29+-1.4833i-cross%280.3333%29%29%5E2\"   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=%28-1.4833i%29%5E2 ALIGN=MIDDLE  ALT=\"%28-1.4833i%29%5E2\"   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=%28-1.4833%29%5E2%28i%29%5E2 ALIGN=MIDDLE  ALT=\"%28-1.4833%29%5E2%28i%29%5E2\"   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=%28-2.2%29%28-1%29 ALIGN=MIDDLE  ALT=\"%28-2.2%29%28-1%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=highlight%282.2%29 ALIGN=MIDDLE  ALT=\"highlight%282.2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );