document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1145766>Question 1145766</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If y = 2x² - 5x + 3 is expressed in the form y = p(x + q)² + r, where p, q and r are constants, find (q + r).  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #767025 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=767025\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Complete the square on the general form quadratic:\r<BR>\n" );
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document.write( "Factor the lead coefficient out of the quadratic and linear terms:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ 2(x^2\ -\ \frac{5}{2}x)\ +\ 3\">\r<BR>\n" );
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document.write( "Divide the linear term coefficient by two, square the result, add the squared result inside the parentheses and subtract the lead coefficient times the squared result outside the parentheses:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ 2\(x^2\ -\ \frac{5}{2}x\ +\ \frac{25}{16}\)\ +\ 3\ -\ \frac{25}{8}\">\r<BR>\n" );
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document.write( "Now the parentheses contain a perfect square quadratic, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ 2\(x\ -\ \frac{5}{4}\)^2\ -\ \frac{1}{8}\">\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE p\ =\ 2\">, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE q\ =\ -\frac{5}{4}\">, and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE r\ =\ -\frac{1}{8}\">\r<BR>\n" );
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document.write( "You can do the rest of the arithmetic.\r<BR>\n" );
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document.write( "								<BR>\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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