document.write( "Question 1011284: If r and s are the roots of x^2 -8x +6 =0, find r^2 + 3rs +s^2. Thank you. \n" ); document.write( "

Algebra.Com's Answer #626899 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "If r and s are the roots of x^2 -8x +6 =0, find r^2 + 3rs +s^2.
\n" ); document.write( "------------------------------------------------------------------\r
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "You do not need to solve the equation and manipulate with the roots to answer the question.\r\n" );
document.write( "\r\n" );
document.write( "If r and s are the roots of the equation  = , then\r\n" );
document.write( "\r\n" );
document.write( "r + s = 8,\r\n" );
document.write( "rs = 6.         *) see an explanation below, after the problem' solution.\r\n" );
document.write( "\r\n" );
document.write( "Then  =  = 64.\r\n" );
document.write( "\r\n" );
document.write( "Add rs = 6 to both sides, and you will get \r\n" );
document.write( "\r\n" );
document.write( " = 64 + 6 = 70.\r\n" );
document.write( "\r\n" );
document.write( "Answer.  = 70.\r\n" );
document.write( "----------------------------------------------\r\n" );
document.write( "\r\n" );
document.write( "*) If r and s are the roots of the equation  = , then the factorization takes place  = (x-r)*(x-s).\r\n" );
document.write( "\r\n" );
document.write( "If you open parentheses, you will get   r + s = -p   and  rs = q.\r\n" );
document.write( "\r\n" );
document.write( "The problem in the claim is aimed to teach the student these identities and to teach him/her to apply them.\r\n" );
document.write( "

\n" ); document.write( " \n" ); document.write( "

\n" );