document.write( "Question 883525: if the alpha and beta be the zeroes of x2+5x+k where alpha2+beta2=1 find value of k \n" ); document.write( "
Algebra.Com's Answer #533586 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
\"x2%2B5x%2Bk+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28alpha%2Bbeta%29+=+-b%2Fa+=+-5\" \r
\n" ); document.write( "\n" ); document.write( "\"%28alpha%29%2A%28beta%29=+c%2Fa+=+k\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28alpha%29%5E2%2B%28beta%29%5E2=1\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28alpha%29%5E2%2B%28beta%29%5E2=%28alpha%2Bbeta%29%5E2+-+2%28alpha%29%2A%28beta%29\"\r
\n" ); document.write( "\n" ); document.write( "\"1=+%28-5%29%5E2-2%2Ak\"\r
\n" ); document.write( "\n" ); document.write( "1= 25-2k\r
\n" ); document.write( "\n" ); document.write( "2k=24
\n" ); document.write( "k=12\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );