document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=660746>Question 660746</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.\r<BR>\n" );
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document.write( "x^2 + y^2 - 8x + 14y = -29 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #411331 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=411331\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the center , radius, intercepts, and graph the circle.<BR>\n" );
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document.write( "Complete the square on the x and on the y terms:<BR>\n" );
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document.write( "x^2 + y^2 - 8x + 14y = -29<BR>\n" );
document.write( "(x^2 - 8x + 16)) + (y^2 + 14y + 49) = -29 + 16 + 49<BR>\n" );
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document.write( "Factor:<BR>\n" );
document.write( "(x-4)^2 + (y+7)^2 = 36<BR>\n" );
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document.write( "Center: (4,-7)<BR>\n" );
document.write( "Radius: sqrt(36) = 6<BR>\n" );
document.write( "Intercepts:<BR>\n" );
document.write( "x-intercepts: Let y = 0, then (x-4)^2 + 49 = 36 ;<BR>\n" );
document.write( "then (x-4)^2 = -13<BR>\n" );
document.write( "Therefore: no x-intercepts<BR>\n" );
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document.write( "y-intercepts: let x = 0, then (-4)^2 + (y+7)^2 = 36,<BR>\n" );
document.write( "then (y+7)^2 = 20<BR>\n" );
document.write( "then y+7 = 2sqrt(5) or y+7 = -2sqrt(5)<BR>\n" );
document.write( "y = -7+2sqrt(5) or y = -7-2sqrt(5)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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