document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=937297>Question 937297</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the difference of the roots of 2xx-6x+c=0 is 5, find the roots and the value of c. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #570734 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=570734\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2xx - 6x + c = 0<BR>\n" );
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document.write( "complete the square:<BR>\n" );
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document.write( "(2xx - 6x + c = 0)/2<BR>\n" );
document.write( "xx - 3x + c/2 = 0<BR>\n" );
document.write( "xx - 3x + (-3/2)^2 - (-3/2)^2 = -c/2<BR>\n" );
document.write( "xx - 3x + (-3/2)^2 = -c/2 + (-3/2)^2<BR>\n" );
document.write( "(x - 3/2)^2 = -c/2 + 9/4<BR>\n" );
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document.write( "solve for x:<BR>\n" );
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document.write( "sqrt( (x - 3/2)^2 ) = sqrt( -c/2 + 9/4 )<BR>\n" );
document.write( "x - 3/2 = sqrt( -c/2 + 9/4 )<BR>\n" );
document.write( "x = sqrt( -c/2 + 9/4 ) + 3/2<BR>\n" );
document.write( "x = sqrt( -2c/4 + 9/4 ) + 3/2<BR>\n" );
document.write( "x = sqrt( (9 - 2c)/4 ) + 3/2<BR>\n" );
document.write( "x = sqrt( 9 - 2c )/2 + 3/2<BR>\n" );
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document.write( "roots are:<BR>\n" );
document.write( "x = 3/2 + sqrt( 9 - 2c )/2<BR>\n" );
document.write( "x = 3/2 - sqrt( 9 - 2c )/2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "difference of roots is 5:<BR>\n" );
document.write( "3/2 + sqrt( 9 - 2c )/2 - ( 3/2 - sqrt( 9 - 2c )/2 ) = 5<BR>\n" );
document.write( "3/2 + sqrt( 9 - 2c )/2 - 3/2 + sqrt( 9 - 2c )/2 = 5<BR>\n" );
document.write( "sqrt( 9 - 2c )/2 + sqrt( 9 - 2c )/2 = 5<BR>\n" );
document.write( "sqrt( 9 - 2c ) = 5<BR>\n" );
document.write( "( sqrt( 9 - 2c ) )^2 = 5*5<BR>\n" );
document.write( "9 - 2c = 25<BR>\n" );
document.write( "2c = 9 - 25<BR>\n" );
document.write( "c = -16/2<BR>\n" );
document.write( "c = -8<BR>\n" );
document.write( "---<BR>\n" );
document.write( "roots:<BR>\n" );
document.write( "x = 3/2 + sqrt( 9 - 2*(-8) )/2<BR>\n" );
document.write( "x = 3/2 - sqrt( 9 - 2*(-8) )/2<BR>\n" );
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document.write( "x = 4<BR>\n" );
document.write( "x = -1<BR>\n" );
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