document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=32049>Question 32049</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321279085/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I emailed you last night but was having computer problems, so thought I would try again. I am having problems decifering the difference between: solve by factoring, solve by completing the square, and solve by using the quadratic equation. <BR>\n" );
document.write( "1) Using the quadratic equation x squared-4x-5=0, solve by factoring, solve by completing the square, and solve by using the quadratic formula.\r<BR>\n" );
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document.write( "Question 2) I don't know how different letters can replace other letters: For the function y=x squared-4x-5, put the function in the form y=a(x-h)squared+k. What is the line of symmetry? Graph the function using the equation in the first part. Explain why it is not necessary to plot points to graph when using y=a(x-h)squared+k.\r<BR>\n" );
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document.write( "Do you know where I can find the squared key and square root key? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #18582 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=18582\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y=x^2-4x-5<BR>\n" );
document.write( "Factoring: (x-5)(x+1)=0<BR>\n" );
document.write( " x=5 or x=-1<BR>\n" );
document.write( "Completing the square:<BR>\n" );
document.write( " x^2-4x-5=0<BR>\n" );
document.write( " (x^2-4x   )=5<BR>\n" );
document.write( " (x^2-4x+4)=5+4<BR>\n" );
document.write( " (x-2)^2=9<BR>\n" );
document.write( "Take the square root of both sides to get;<BR>\n" );
document.write( "x-2=3 or x-2=-3<BR>\n" );
document.write( "x=5 or x=-1<BR>\n" );
document.write( "Quadratic Formula:<BR>\n" );
document.write( "x^2-4x-5=0<BR>\n" );
document.write( "a=1, b=-4, c=-5<BR>\n" );
document.write( "x=[-b+-sqrt(b^2-4ac)]/2a<BR>\n" );
document.write( "x=[4+-sqrt(16+20)]/2<BR>\n" );
document.write( "x=[4+-sqrt(36)]/2<BR>\n" );
document.write( "x=[4+-6]/2<BR>\n" );
document.write( "x=(10/2)=5 or x=(4-6)/2=-1<BR>\n" );
document.write( "Change of Form:<BR>\n" );
document.write( "y=x^2-4x-5<BR>\n" );
document.write( "y+5=x^2-4x<BR>\n" );
document.write( "Complete the square to get:<BR>\n" );
document.write( "x^2-4x+4=y+9<BR>\n" );
document.write( "(x-2)^2=y+9<BR>\n" );
document.write( "y=(x-2)^2-9<BR>\n" );
document.write( "Axis of symmetry is x=2<BR>\n" );
document.write( "For square rt type sqrt<BR>\n" );
document.write( "For square use ^2<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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