document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=23327>Question 23327</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x^2 + 25 < 10x <BR>\n" );
document.write( "I need Graphing Help Also\r<BR>\n" );
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document.write( "Thanks,<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #12111 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=12111\">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=x%5E2+%2B+25+%3C+10x ALIGN=MIDDLE  ALT=\"x%5E2+%2B+25+%3C+10x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Begin by subtracting 10x from each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-10x+%2B+25+%3C0 ALIGN=MIDDLE  ALT=\"x%5E2+-10x+%2B+25+%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Can you see that this is a perfect square trinomial???\r<BR>\n" );
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document.write( "This just happens to factor, so you can write it <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%29%5E2+%3C0 ALIGN=MIDDLE  ALT=\"%28x-5%29%5E2+%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and a square of a real number can NEVER be less than zero, so this is NO SOLUTION.\r<BR>\n" );
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document.write( "You can also draw the graph of this <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+x%5E2+-10x+%2B25+ ALIGN=MIDDLE  ALT=\"y=+x%5E2+-10x+%2B25+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Do you have a graphing calculator?  We do in algebra.com.  All you have to do is just type it in as a graph, and this is what comes out.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28500%2C500%2C+-10%2C10%2C-10%2C10%2C+x%5E2+-10x%2B25+%29 ALIGN=MIDDLE  ALT=\"graph%28500%2C500%2C+-10%2C10%2C-10%2C10%2C+x%5E2+-10x%2B25+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, to answer the question from the graph, because the problem says <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-10x+%2B25%3C0+ ALIGN=MIDDLE  ALT=\"x%5E2+-10x+%2B25%3C0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you need to find all the values of x on this graph where where the graph is BELOW the x-axis.  As you can see from the graph it is ALWAYS ABOVE THE X-axis, and it is NEVER BELOW the x=axis. \r<BR>\n" );
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document.write( "You mentioned that you need graphing help.  Can you be more specific?  As I asked earlier, do you have a graphing calculator?  Do you know how to use algebra.com format to draw a graph as I did above?  If not, then just click on a problem here that has already been done that shows a graph (like this one!!), and look for \"Show Source\".  If you click on \"Show Source\" for this problem, you will see exactly what I typed in to get this problem posted as I did.  To get a graph, just type in three open set braces like this symbol: \"{\", followed by the word \"graph\" with an open parentheses, then all these numbers that set off the size of the graph, the x values, the y values, and then the equation for y, followed by closed parentheses and three closed set braces.  Try it sometime.  It works on the tutor end, and I think it can be used on the student side as well if you learned how to do it.\r<BR>\n" );
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document.write( "Or just get yourself a graphing calculator.  We use the TI 83+ and TI 84, so that is what I know the best, and I have a nice handout for it too.  Unfortunately, it is Texas Instruments who makes all the money on this, and not me!!  Have a good day.\r<BR>\n" );
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document.write( "R^2 at SCC\r<BR>\n" );
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