document.write( "Question 83162: How do I solve using the quadratic equation this problem.
\n" ); document.write( "x + 1/x = 3/x + 3 \n" ); document.write( "

Algebra.Com's Answer #59678 by Mogana(4) $\"\"$ $\"About$

You can put this solution on YOUR website!
x + 1/x = 3/x + 3\r
\n" ); document.write( "\n" ); document.write( "Multiply each individual term by x, we get\r
\n" ); document.write( "\n" ); document.write( "x * x + (1/x) *x = (3/x) *x + 3 *x\r
\n" ); document.write( "\n" ); document.write( "x^2+ 1 = 3 + 3x\r
\n" ); document.write( "\n" ); document.write( "Get all the terms to one side, we get\r
\n" ); document.write( "\n" ); document.write( "x^2 -3x-3 +1 =0\r
\n" ); document.write( "\n" ); document.write( "x^2 -3x -2 = 0
\n" ); document.write( "It is of the form ax^2+ bx +c =0
\n" ); document.write( "Where a =1, b =-3, c =-2\r
\n" ); document.write( "\n" ); document.write( "Now substitute in the equation to get roots.
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x+=+%28-%28-3%29+%2B-+sqrt%28+%28-3%29%5E2-4%2A1%2A-2+%29%29%2F%282%2A1%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x+=+%283+%2B-+sqrt%28+9+%2B+8+%29%29%2F%282%29+\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"x+=+%283+%2B-+sqrt%28+17+%29%29%2F%282%29+\"$ \n" ); document.write( "

\n" );