document.write( "Question 122237: Algebraically determine the EXACT roots in simplest form for (5/x-3)=(x/x+1) \n" ); document.write( "

Algebra.Com's Answer #89797 by algebrapro18(249) $\"\"$ $\"About$

You can put this solution on YOUR website!
(5/x-3)=(x/x+1)
\n" ); document.write( "5(x+1) = x(x-3)
\n" ); document.write( "5x+5 = x^2-3x
\n" ); document.write( "0 = x^2-8x-5
\r
\n" ); document.write( "\n" ); document.write( "a = 1
\n" ); document.write( "b = -8
\n" ); document.write( "c = -5
\r
\n" ); document.write( "\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$ ---> plug values into the quadratic forumla
\n" ); document.write( " $\"x+=+%288+%2B-+sqrt%28+%28-8%29%5E2-4%2A1%2A-5+%29%29%2F%282%2A1%29+\"$ --->simplify
\n" ); document.write( " $\"x=+%288+%2B-+sqrt%2864%2B20%29%29%2F%282%29\"$ --->simplify
\n" ); document.write( " $\"x=+%288+%2B-+sqrt%2884%29%29%2F%282%29\"$ --->simplify sqrt(84)
\n" ); document.write( " $\"x=+%288+%2B-+2%2Asqrt%2821%29%29%2F%282%29\"$ ---> divide by 2
\n" ); document.write( " $\"x=+4+%2B-+sqrt%2821%29\"$ \n" ); document.write( "

\n" );