document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=917349>Question 917349</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please explain how to find the vertex of this equation?<BR>\n" );
document.write( "y^2-2x=2x-3<BR>\n" );
document.write( "With solution please thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #556621 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=556621\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y^2 -2x = 2x -3<BR>\n" );
document.write( "add 2x to both sides of =<BR>\n" );
document.write( "y^2 = 4x - 3<BR>\n" );
document.write( "square root of both sides of =<BR>\n" );
document.write( "y = square root(4x -3)<BR>\n" );
document.write( "this is a parabola with a real part and an imaginary part<BR>\n" );
document.write( "calculate the first derivative<BR>\n" );
document.write( "dy/dx = (1/2) * (4x-3)^(1/2)<BR>\n" );
document.write( "set first derivative to 0<BR>\n" );
document.write( "(1/2) * (4x-3)^(1/2) = 0<BR>\n" );
document.write( "multiply both sides of = by 2<BR>\n" );
document.write( "(4x-3)^(1/2) = 0<BR>\n" );
document.write( "square both sides of = <BR>\n" );
document.write( "4x -3 = 0<BR>\n" );
document.write( "x = 3/4<BR>\n" );
document.write( "substitute x = 3/4 in y^2 = 4x - 3<BR>\n" );
document.write( "y = 0<BR>\n" );
document.write( "therefore the min point is<BR>\n" );
document.write( "(3/4, 0)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );