document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1015160>Question 1015160</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (x+2k)^2 + (y-3k)^2 = 25 pass through the point (1,0)<BR>\n" );
document.write( "find value of k </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #631516 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=631516\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2k%29%5E2+%2B+%28y-3k%29%5E2+=+25 ALIGN=MIDDLE  ALT=\"%28x%2B2k%29%5E2+%2B+%28y-3k%29%5E2+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" > pass through the point (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "find value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" >:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2k%29%5E2+%2B+%28y-3k%29%5E2+=+25 ALIGN=MIDDLE  ALT=\"%28x%2B2k%29%5E2+%2B+%28y-3k%29%5E2+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" >....substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > with coordinates of given point\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2B2k%29%5E2+%2B+%280-3k%29%5E2+=+25 ALIGN=MIDDLE  ALT=\"%281%2B2k%29%5E2+%2B+%280-3k%29%5E2+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" >....solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B4k%2B4k%5E2+%2B+9k%5E2+=+25 ALIGN=MIDDLE  ALT=\"1%2B4k%2B4k%5E2+%2B+9k%5E2+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13k%5E2%2B4k+=+25-1 ALIGN=MIDDLE  ALT=\"13k%5E2%2B4k+=+25-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13k%5E2%2B4k+-24=0 ALIGN=MIDDLE  ALT=\"13k%5E2%2B4k+-24=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >........use quadratic formula\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"k+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+%28-4+%2B-+sqrt%28+4%5E2-4%2A13%2A%28-24%29+%29%29%2F%282%2A13%29+ ALIGN=MIDDLE  ALT=\"k+=+%28-4+%2B-+sqrt%28+4%5E2-4%2A13%2A%28-24%29+%29%29%2F%282%2A13%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+%28-4+%2B-+sqrt%28+16%2B1248+%29%29%2F26+ ALIGN=MIDDLE  ALT=\"k+=+%28-4+%2B-+sqrt%28+16%2B1248+%29%29%2F26+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+%28-4+%2B-+sqrt%28+1264+%29%29%2F26+ ALIGN=MIDDLE  ALT=\"k+=+%28-4+%2B-+sqrt%28+1264+%29%29%2F26+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+%28-4+%2B-+sqrt%28+16%2A79+%29%29%2F26+ ALIGN=MIDDLE  ALT=\"k+=+%28-4+%2B-+sqrt%28+16%2A79+%29%29%2F26+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+%28-4+%2B-+4sqrt%28+79+%29%29%2F26+ ALIGN=MIDDLE  ALT=\"k+=+%28-4+%2B-+4sqrt%28+79+%29%29%2F26+\"   DISABLED_style= \"max-width:90%; height:auto;\" >......simplify\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+%28-2+%2B-+2sqrt%28+79+%29%29%2F13+ ALIGN=MIDDLE  ALT=\"k+=+%28-2+%2B-+2sqrt%28+79+%29%29%2F13+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+%28-2%2F13+%2B-+2sqrt%28+79+%29%2F13+%29 ALIGN=MIDDLE  ALT=\"k+=+%28-2%2F13+%2B-+2sqrt%28+79+%29%2F13+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "exact solutions:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+-2%2F13+%2B+2sqrt%28+79+%29%2F13+ ALIGN=MIDDLE  ALT=\"k+=+-2%2F13+%2B+2sqrt%28+79+%29%2F13+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "and\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+-2%2F13+-+2sqrt%28+79+%29%2F13+ ALIGN=MIDDLE  ALT=\"k+=+-2%2F13+-+2sqrt%28+79+%29%2F13+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "approximate solutions:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+-2%2F13+%2B+2sqrt%28+79+%29%2F13+ ALIGN=MIDDLE  ALT=\"k+=+-2%2F13+%2B+2sqrt%28+79+%29%2F13+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+-0.1538461538461538+%2B+0.1538461538461538%288.9%29+ ALIGN=MIDDLE  ALT=\"k+=+-0.1538461538461538+%2B+0.1538461538461538%288.9%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=1.21538461538461502 ALIGN=MIDDLE  ALT=\"k=1.21538461538461502\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=1.22 ALIGN=MIDDLE  ALT=\"k=1.22\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "and\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+-2%2F13+-+2sqrt%28+79+%29%2F13+ ALIGN=MIDDLE  ALT=\"k+=+-2%2F13+-+2sqrt%28+79+%29%2F13+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+-0.1538461538461538+-0.1538461538461538%288.9%29++ ALIGN=MIDDLE  ALT=\"k+=+-0.1538461538461538+-0.1538461538461538%288.9%29++\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=+-1.523 ALIGN=MIDDLE  ALT=\"k=+-1.523\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "so, you have a circle <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%2A1.22%29%5E2+%2B+%28y-3%2A1.22%29%5E2+=+25 ALIGN=MIDDLE  ALT=\"%28x%2B2%2A1.22%29%5E2+%2B+%28y-3%2A1.22%29%5E2+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2.44%29%5E2+%2B+%28y-3.66%29%5E2+=+25 ALIGN=MIDDLE  ALT=\"%28x%2B2.44%29%5E2+%2B+%28y-3.66%29%5E2+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "and circle\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%2A%28-1.523%29%29%5E2+%2B+%28y-3%2A%28-1.523%29%29%5E2+=+25 ALIGN=MIDDLE  ALT=\"%28x%2B2%2A%28-1.523%29%29%5E2+%2B+%28y-3%2A%28-1.523%29%29%5E2+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3.046%29%5E2+%2B+%28y%2B4.569%29%5E2+=+25 ALIGN=MIDDLE  ALT=\"%28x-3.046%29%5E2+%2B+%28y%2B4.569%29%5E2+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "and both should pass through the point (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
document.write( "\n" );
document.write( "check it:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0Acircle%281%2C0%2C.12%29%2Clocate%281%2C-0.5%2Cp%281%2C0%29%29%2C%0D%0A+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+sqrt%28-%28x%2B2.44%29%5E2+%2B25%29%2B3.66+%2C+-sqrt%28-%28x%2B2.44%29%5E2+%2B25%29%2B3.66%2Csqrt%28-%28x-3.046%29%5E2%2B25%29-4.569%2C-sqrt%28-%28x-3.046%29%5E2%2B25%29-4.569%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );