Algebra.Com's Answer #536224 by mananth(16946)![\"\"](\"/images/stars/stars-13.gif\")  
You can put this solution on YOUR website!
1.) Find a quadratic equation in terms of x whose roots are
\n" );
document.write( "a.) 7 and -2\r
\n" );
document.write( "\n" );
document.write( "sum of roots = 5
\n" );
document.write( "product of roots = -14\r
\n" );
document.write( "\n" );
document.write( "the quadratic equation will be\r
\n" );
document.write( "\n" );
document.write( "x^2-(sum of roots)x+product of roots=0
\n" );
document.write( "x^2-5x-14=0
\n" );
document.write( "similarly for all others
\n" );
document.write( "b.) 1/2 and 1/3
\n" );
document.write( "c.)  \r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "3.) Find the value of p so that the roots of 4x^2 = 40x-p difference by 3?\r
\n" );
document.write( "\n" );
document.write( "4x^2-40x+p=0\r
\n" );
document.write( "\n" );
document.write( "let the roots be  &  \r
\n" );
document.write( "\n" );
document.write( " + =-b/a = -(-40/4)=10\r
\n" );
document.write( "\n" );
document.write( " * = c/a = p/4\r
\n" );
document.write( "\n" );
document.write( " - =3\r
\n" );
document.write( "\n" );
document.write( "( - )^2=9\r
\n" );
document.write( "\n" );
document.write( "=( + )^2 -4* * =9\r
\n" );
document.write( "\n" );
document.write( "substitute
\n" );
document.write( "10^2-4*p/4 = 9\r
\n" );
document.write( "\n" );
document.write( "100-p=9\r
\n" );
document.write( "\n" );
document.write( "p=100-9
\n" );
document.write( "p=91\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( " |