document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=78466>Question 78466</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321056582/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I'm just having trouble setting up this equation.  \r<BR>\n" );
document.write( "\n" );
document.write( "Find all values of b so that the straight line 3x-y=b touches the circle x^2+y^2=25 at only one point.\r<BR>\n" );
document.write( "\n" );
document.write( "So I set it up as a system of equations and simplified the linear equation so I could use substitution:\r<BR>\n" );
document.write( "\n" );
document.write( "y=3x-b<BR>\n" );
document.write( "x^2+y^2=25\r<BR>\n" );
document.write( "\n" );
document.write( "Then I tried to substitute {3x-b} for y in the circle equation:\r<BR>\n" );
document.write( "\n" );
document.write( "x^2+(9x^2-6xb+b^2)=25\r<BR>\n" );
document.write( "\n" );
document.write( "I was stuck as to where to go from here.  Mainly, how do I find b?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #56574 by </B><A HREF=/tutors/aboutme.mpl?userid=renevencer22><B>renevencer22(21)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=renevencer22><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=56574\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> please look at the following URL:\r<BR>\n" );
document.write( "\n" );
document.write( "http://renevencer18.50megs.com/mathprob/tangencyconic1.jpg<BR>\n" );
document.write( "http://renevencer18.50megs.com/mathprob/tangencyconic2.jpg\r<BR>\n" );
document.write( "\n" );
document.write( "I hope the solutions are there. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );