document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1062324>Question 1062324</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x2 - 10x + y2 + 4y + 13 = 0<BR>\n" );
document.write( "a. Find the corresponding standard form<BR>\n" );
document.write( "b. Identify the center and radius of the circle<BR>\n" );
document.write( "c. Find the x- and y-intercepts<BR>\n" );
document.write( "d. Graph the circle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #677198 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=677198\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+10x+%2B+y%5E2+%2B+4y+%2B+13+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+10x+%2B+y%5E2+%2B+4y+%2B+13+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+10x+%2B+y%5E2+%2B+4y+=+-13 ALIGN=MIDDLE  ALT=\"x%5E2+-+10x+%2B+y%5E2+%2B+4y+=+-13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Completing squares:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+10x+%2B+red%2825%29+%2B+y%5E2+%2B+4y+%2B+green%284%29+=+-13%2Bred%2825%29%2Bgreen%284%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+-+10x+%2B+25%29+%2B+%28y%5E2+%2B+4y+%2B4%29+=+16 ALIGN=MIDDLE  ALT=\"%28x%5E2+-+10x+%2B+25%29+%2B+%28y%5E2+%2B+4y+%2B4%29+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28x-5%29%5E2+%2B+%28y%2B2%29%5E2+=+16%29 ALIGN=MIDDLE  ALT=\"highlight%28%28x-5%29%5E2+%2B+%28y%2B2%29%5E2+=+16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28x-5%29%5E2+%2B+%28y%2B2%29%5E2+=+4%5E2%29 ALIGN=MIDDLE  ALT=\"highlight%28%28x-5%29%5E2+%2B+%28y%2B2%29%5E2+=+4%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "b. The radius is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%284%29 ALIGN=MIDDLE  ALT=\"highlight%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "the number squared on the right side of the equation above.<BR>\n" );
document.write( "The coordinates of the center are the solution for the shrunken circle with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=radius=0 ALIGN=MIDDLE  ALT=\"radius=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%29%5E2+%2B+%28y%2B2%29%5E2+=+0 ALIGN=MIDDLE  ALT=\"%28x-5%29%5E2+%2B+%28y%2B2%29%5E2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x-5=0%2Cy%2B2=0%29 ALIGN=MIDDLE  ALT=\"system%28x-5=0%2Cy%2B2=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28system%28x=5%2Cy=-2%29%29 ALIGN=MIDDLE  ALT=\"highlight%28system%28x=5%2Cy=-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( " <BR>\n" );
document.write( "c. The x-intercepts:<BR>\n" );
document.write( "The x-intercepts are the points (if any) where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0 ALIGN=MIDDLE  ALT=\"y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "where the graph of the equation crosses the x-axis.<BR>\n" );
document.write( "To find them, we solve<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=0%2Cx%5E2+-+10x+%2B+y%5E2+%2B+4y+%2B+13+=+0%29 ALIGN=MIDDLE  ALT=\"system%28y=0%2Cx%5E2+-+10x+%2B+y%5E2+%2B+4y+%2B+13+=+0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=0%2Cx%5E2+-+10x+%2B+13+=+0%29 ALIGN=MIDDLE  ALT=\"system%28y=0%2Cx%5E2+-+10x+%2B+13+=+0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22...%22 ALIGN=MIDDLE  ALT=\"%22...%22\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28system%28y=0%2Cx=5+%2B-+2sqrt%283%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28system%28y=0%2Cx=5+%2B-+2sqrt%283%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "or we solve<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=0%2C%28x-5%29%5E2+%2B+%28y%2B2%29%5E2=16%29 ALIGN=MIDDLE  ALT=\"system%28y=0%2C%28x-5%29%5E2+%2B+%28y%2B2%29%5E2=16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=0%2C%28x-5%29%5E2%2B2%5E2=16%29 ALIGN=MIDDLE  ALT=\"system%28y=0%2C%28x-5%29%5E2%2B2%5E2=16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=0%2C%28x-5%29%5E2%2B4=16%29 ALIGN=MIDDLE  ALT=\"system%28y=0%2C%28x-5%29%5E2%2B4=16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=0%2C%28x-5%29%5E2=16-4%29 ALIGN=MIDDLE  ALT=\"system%28y=0%2C%28x-5%29%5E2=16-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=0%2C%28x-5%29%5E2=12%29 ALIGN=MIDDLE  ALT=\"system%28y=0%2C%28x-5%29%5E2=12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=0%2Cx=5+%2B-+sqrt%2812%29%29 ALIGN=MIDDLE  ALT=\"system%28y=0%2Cx=5+%2B-+sqrt%2812%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28system%28y=0%2Cx=5+%2B-+2sqrt%283%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28system%28y=0%2Cx=5+%2B-+2sqrt%283%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Theapprocimate values for the y=coordinates of those points are<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=about1.536%29 ALIGN=MIDDLE  ALT=\"highlight%28y=about1.536%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=about8.464%29 ALIGN=MIDDLE  ALT=\"highlight%28y=about8.464%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "The y-intercepts:<BR>\n" );
document.write( "The y-intercepts are the points (if any) where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "where the graph of the equation crosses the x-axis.<BR>\n" );
document.write( "To find them, we solve<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=0%2Cx%5E2+-+10x+%2B+y%5E2+%2B+4y+%2B+13+=+0%29 ALIGN=MIDDLE  ALT=\"system%28x=0%2Cx%5E2+-+10x+%2B+y%5E2+%2B+4y+%2B+13+=+0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=0%2Cy%5E2+%2B+4y+%2B+13+=+0%29 ALIGN=MIDDLE  ALT=\"system%28x=0%2Cy%5E2+%2B+4y+%2B+13+=+0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22...%22 ALIGN=MIDDLE  ALT=\"%22...%22\"   DISABLED_style= \"max-width:90%; height:auto;\" >--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=no ALIGN=MIDDLE  ALT=\"no\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=solution ALIGN=MIDDLE  ALT=\"solution\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "or we solve<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=0%2C%28x-5%29%5E2+%2B+%28y%2B2%29%5E2+=+16%29 ALIGN=MIDDLE  ALT=\"system%28x=0%2C%28x-5%29%5E2+%2B+%28y%2B2%29%5E2+=+16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=0%2C25%2B%28y%2B2%29%5E2=16%29 ALIGN=MIDDLE  ALT=\"system%28x=0%2C25%2B%28y%2B2%29%5E2=16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=0%2C%28y%2B2%29%5E2=16-25%29 ALIGN=MIDDLE  ALT=\"system%28x=0%2C%28y%2B2%29%5E2=16-25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=0%2C%28y%2B2%29%5E2=-9%29 ALIGN=MIDDLE  ALT=\"system%28x=0%2C%28y%2B2%29%5E2=-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=no ALIGN=MIDDLE  ALT=\"no\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=solution ALIGN=MIDDLE  ALT=\"solution\"   DISABLED_style= \"max-width:90%; height:auto;\" > ><BR>\n" );
document.write( "The graph does not cross the y-axis.<BR>\n" );
document.write( "In fact, it looks like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-1%2C9%2C-7%2C3%2C%0D%0Agrid%281%29%2C%0D%0Ared%28circle%285%2C-2%2C0.1%29%29%2C%0D%0Ared%28circle%285%2C-2%2C4%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );