document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=981899>Question 981899</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The equation 8x-x^2=k-2 has roots a and b. Find the value of k if the roots differ by 2. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #602810 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=602810\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The equation 8x-x^2=k-2 has roots a and b. Find the value of k if the roots differ by 2.\r<BR>\n" );
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document.write( "x^2-8x+(k-2) =0\r<BR>\n" );
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document.write( "a+b = -(-8)/1 =8\r<BR>\n" );
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document.write( "ab = k-2\r<BR>\n" );
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document.write( "a-b =2\r<BR>\n" );
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document.write( "a+b= 8<BR>\n" );
document.write( "a-b= 2\r<BR>\n" );
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document.write( "2a=10<BR>\n" );
document.write( "a=5\r<BR>\n" );
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document.write( "a-b =2<BR>\n" );
document.write( "b=3\r<BR>\n" );
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document.write( "ab = k-2\r<BR>\n" );
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document.write( "5*3 = k-2\r<BR>\n" );
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document.write( "15 =k-2<BR>\n" );
document.write( "k=17<BR>\n" );
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