document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=671931>Question 671931</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the circle in standard form find the center, radius, intercepts and graph the circle x^2+y^2+10x+8y+16=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #418072 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=418072\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the equation of the circle in standard form find the center, radius, intercepts and graph the circle x^2+y^2+10x+8y+16=0<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Standard form of equation for a circle: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, (h,k)=(x,y) coordinates of center, r=radius<BR>\n" );
document.write( "For given equation: <BR>\n" );
document.write( "x^2+y^2+10x+8y+16=0<BR>\n" );
document.write( "complete the square.<BR>\n" );
document.write( "(x^2+10x+25)+(y^2+8y+16)=-16+25+16<BR>\n" );
document.write( "equation of circle: (x+5)^2+(y+4)^2=25<BR>\n" );
document.write( "center:(-5,-4)<BR>\n" );
document.write( "radius=&#8730;25=5<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x-intercepts:<BR>\n" );
document.write( "set y=0<BR>\n" );
document.write( "x^2+10x+16=0<BR>\n" );
document.write( "(x+8)(x+2)=0<BR>\n" );
document.write( "x=-8<BR>\n" );
document.write( "and <BR>\n" );
document.write( "x=-2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y-intercepts<BR>\n" );
document.write( "set x=0<BR>\n" );
document.write( "y^2+8y+16=0<BR>\n" );
document.write( "(y+4)^2=0<BR>\n" );
document.write( "y=-4<BR>\n" );
document.write( "see graph below:<BR>\n" );
document.write( "y=(25-(x+5)^2)^.5-4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%2825-%28x%2B5%29%5E2%29%5E.5-4%2C-%2825-%28x%2B5%29%5E2%29%5E.5-4%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );