document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126472>Question 126472</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One root of the function y=x^2-10x+k is 5+2isqrt3. What is the 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 #92669 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</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=92669\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2-10x%2Bk ALIGN=MIDDLE  ALT=\"y=x%5E2-10x%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "One root is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2B2i%28sqrt%283%29%29+ ALIGN=MIDDLE  ALT=\"+5%2B2i%28sqrt%283%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >y=x^2-10x+k is 5+2isqrt3\r<BR>\n" );
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document.write( "To find:\r<BR>\n" );
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document.write( " What is the 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" );
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document.write( "If one root is known, for that value <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;\" >; so, we will have:\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2B2i%28+sqrt%283%29+%29+ ALIGN=MIDDLE  ALT=\"+5%2B2i%28+sqrt%283%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then \r<BR>\n" );
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document.write( "plug it in the equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+%285+%2B+2i%28+1.73%29+%29%5E2+-10%285%2B2i%28+1.73%29%29+%2B+k ALIGN=MIDDLE  ALT=\"0+=+%285+%2B+2i%28+1.73%29+%29%5E2+-10%285%2B2i%28+1.73%29%29+%2B+k\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+%285%5E2+%2B+5%2A2i%28+1.73%29+%2B%282i%28+1.73%29%29%5E2%29+-10%285%2B2i%28+1.73%29%29+%2B+k ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+%2825+%2B+10i%28+1.73%29+%2B+4i%5E2%28+1.73%29%5E2+-50+%2B+20i%28+1.73%29%29+%2B+k ALIGN=MIDDLE  ALT=\"0+=+%2825+%2B+10i%28+1.73%29+%2B+4i%5E2%28+1.73%29%5E2+-50+%2B+20i%28+1.73%29%29+%2B+k\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+25+%2B+17.3i%2B+4%28-1%29%28+2.99%29+-50+%2B+34.6i+%2B+k ALIGN=MIDDLE  ALT=\"0+=+25+%2B+17.3i%2B+4%28-1%29%28+2.99%29+-50+%2B+34.6i+%2B+k\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+25+-50+%2B+51.9i+-11.96+%2B+k ALIGN=MIDDLE  ALT=\"0+=+25+-50+%2B+51.9i+-11.96+%2B+k\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+-25+%2B+51.9i+-11.96+%2B+k ALIGN=MIDDLE  ALT=\"0+=+-25+%2B+51.9i+-11.96+%2B+k\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+-36.96+%2B+51.9i+%2B+k ALIGN=MIDDLE  ALT=\"0+=+-36.96+%2B+51.9i+%2B+k\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36.96+-+51.9i+=+k ALIGN=MIDDLE  ALT=\"36.96+-+51.9i+=+k\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+36.96+-+51.9i+ ALIGN=MIDDLE  ALT=\"k+=+36.96+-+51.9i+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+%285+%2B+2i%28+1.73%29+%29%5E2+-10%285%2B2i%28+1.73%29%29+%2B+36.96+-+51.9i+ ALIGN=MIDDLE  ALT=\"0+=+%285+%2B+2i%28+1.73%29+%29%5E2+-10%285%2B2i%28+1.73%29%29+%2B+36.96+-+51.9i+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+25+%2B+17.3i%2B+4%28-1%29%28+2.99%29+-50+%2B+34.6i+%2B+36.96+-+51.9i+ ALIGN=MIDDLE  ALT=\"0+=+25+%2B+17.3i%2B+4%28-1%29%28+2.99%29+-50+%2B+34.6i+%2B+36.96+-+51.9i+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+25-50+%2B+36.96+-11.96+%2B+17.3i+%2B+34.6i+-+51.9i+ ALIGN=MIDDLE  ALT=\"0+=+25-50+%2B+36.96+-11.96+%2B+17.3i+%2B+34.6i+-+51.9i+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+11.96+-11.96+%2B+51.9i-+51.9i+ ALIGN=MIDDLE  ALT=\"0+=+11.96+-11.96+%2B+51.9i-+51.9i+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+0%2B+0 ALIGN=MIDDLE  ALT=\"0+=+0%2B+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+0 ALIGN=MIDDLE  ALT=\"0+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );