document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=766122>Question 766122</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Give the quadratic equation whose roots are twice as large as the roots of the given equation: ax^2+bx+c=0 a is not equal to 0. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #466688 by </B><A HREF=/tutors/aboutme.mpl?userid=subudear><B>subudear(62)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=subudear><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=466688\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> quadratic equation whose roots are twice of the given equation<BR>\n" );
document.write( "ax^2+bx+c=0\r<BR>\n" );
document.write( "\n" );
document.write( "is\r<BR>\n" );
document.write( "\n" );
document.write( "ax^2+2bx+4c=0\r<BR>\n" );
document.write( "\n" );
document.write( "You can derive using following-<BR>\n" );
document.write( "Roots for the equation ax^2+bx+c=0 are given by\r<BR>\n" );
document.write( "\n" );
document.write( "X1 = [-b + sqrt(b^2-4ac)]/2a<BR>\n" );
document.write( "X2 = [-b - sqrt(b^2-4ac)]/2a\r<BR>\n" );
document.write( "\n" );
document.write( "The new roots are twice of these roots<BR>\n" );
document.write( "Y1 = 2X1 = 2/2a<BR>\n" );
document.write( "Y2 = 2X2 = 2/2a\r<BR>\n" );
document.write( "\n" );
document.write( "or\r<BR>\n" );
document.write( "\n" );
document.write( "you can derive the equation by resolving below-\r<BR>\n" );
document.write( "\n" );
document.write( "(x - Y1)*(x - Y2) = 0<BR>\n" );
document.write( "(x - [-b + sqrt(b^2-4ac)]/a)*(x - [-b - sqrt(b^2-4ac)]/a) = 0 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );