document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59146>Question 59146</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073268620/algebrahomeworkh>Elementary and Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Express the vertex of the quadratic 2x^2 - 3x + 5 as an ordered pair </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #40553 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=40553\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x^2 - 3x + 5<BR>\n" );
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document.write( "Rewrite as:<BR>\n" );
document.write( "2x^2-3x=y-5 <BR>\n" );
document.write( "2(x^2-(3/2)x = y-5<BR>\n" );
document.write( "(x^2-(3/2)x+(3/4)^2 = (1/2)y-(5/2)+(9/16)<BR>\n" );
document.write( "x^2-(3/2)x+(3/4)^2=(1/2)y-(40/16)+(9/16))<BR>\n" );
document.write( "(x-(3/4))^2 = (1/2)(y)-(31/16)<BR>\n" );
document.write( "(x-(3/4))^2 = (1/2)(y-31/8)<BR>\n" );
document.write( "Vertex at (3/4,31/8)<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );