document.write( "Question 386826: 6/p = 2 + p/p+1 using quadratic function \n" ); document.write( "

Algebra.Com's Answer #273549 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"6%2Fp+=+2+%2B+p%2F%28p%2B1%29\"$
\n" ); document.write( "Use the common denominator, $\"p%28p%2B1%29\"$
\n" ); document.write( "

\n" ); document.write( "

\n" ); document.write( " $\"%286%28p%2B1%29-2%2A%28p%28p%2B1%29%29-p%5E2%29%2F%28p%28p%2B1%29%29=0\"$
\n" ); document.write( " $\"%286p%2B6-2%2A%28p%5E2%2Bp%29%2Bp%5E2%29%2F%28p%28p%2B1%29%29=0\"$
\n" ); document.write( " $\"%286p%2B6-2p%5E2-2p-p%5E2%29%2F%28p%28p%2B1%29%29=0\"$
\n" ); document.write( " $\"%28-3p%5E2%2B4p%2B6%29%2F%28p%28p%2B1%29%29=0\"$
\n" ); document.write( " $\"%283p%5E2-4p-6%29%2F%28p%28p%2B1%29%29=0\"$
\n" ); document.write( "The equation equals zero when the numerator equals zero.
\n" ); document.write( " $\"3p%5E2-4p-6=0\"$
\n" ); document.write( " $\"3p%5E2-4p%2B4-6=4\"$
\n" ); document.write( "Using the quadratic formula,
\n" ); document.write( " $\"p+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"p+=+%284+%2B-+sqrt%28+%28-4%29%5E2-4%2A3%2A%28-6%29+%29%29%2F%282%2A3%29+\"$
\n" ); document.write( " $\"p+=+%284+%2B-+sqrt%28+16%2B72+%29%29%2F%286%29+\"$
\n" ); document.write( " $\"p+=+%284+%2B-+sqrt%28+88+%29%29%2F%286%29+\"$
\n" ); document.write( " $\"p+=+%284+%2B-+2%2Asqrt%28+22+%29%29%2F%286%29+\"$
\n" ); document.write( " $\"highlight%28p+=+%282+%2B-+sqrt%28+22+%29%29%2F%283%29+%29\"$
\n" ); document.write( " \n" ); document.write( "

\n" );