document.write( "Question 696522: in a quadratic equation lx^2+nx+n=0 if ratio of roots is p:q then proof
\n" ); document.write( "(p/q)^(1/2) + (q/p)^(1/2) + (n/l)^(1/2) =0 \n" ); document.write( "

Algebra.Com's Answer #429096 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "There can be no solution to this problem because the 1/2 power\r\n" );
document.write( "is the same as the square root and square roots can only be taken \r\n" );
document.write( "of non-negative numbers to give non-negative numbers.\r\n" );
document.write( "\r\n" );
document.write( "This equation\r\n" );
document.write( "\r\n" );
document.write( "(p/q)^(1/2) + (q/p)^(1/2) + (n/l)^(1/2) = 0\r\n" );
document.write( "\r\n" );
document.write( "which is equivalent to\r\n" );
document.write( "\r\n" );
document.write( " +  +  = 0 \r\n" );
document.write( "\r\n" );
document.write( "is three non-negative numbers adding up to 0.  This is impossible\r\n" );
document.write( "unless they were all three 0.  But that is impossible because\r\n" );
document.write( "if the first term were 0 then p would have to be 0.  But that would \r\n" );
document.write( "mean that the second term would have a zero in the denominator\r\n" );
document.write( "which is undefined.  So this problem has no solution.  Sorry.  If\r\n" );
document.write( "there is a typo, then you may give the correct problem in the thank-\r\n" );
document.write( "you note.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

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

\n" );