document.write( "Question 24955: How do I solve the following:\r
\n" ); document.write( "\n" ); document.write( "x+1/x + x+4/x = 6 \n" ); document.write( "

Algebra.Com's Answer #13340 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve:
\n" ); document.write( " $\"x+%2B+1%2Fx+%2B+x+%2B+4%2Fx+=+6\"$ Collect like-terms.
\n" ); document.write( " $\"2x+%2B+5%2Fx+=+6\"$ Combine terms on the left side.
\n" ); document.write( " $\"%282x%5E2+%2B+5%29%2Fx+=+6\"$ Multiply both sides of the equation by x
\n" ); document.write( " $\"2x%5E2+%2B+5+=+6x\"$ Subtract 6x from both sides.
\n" ); document.write( " $\"2x%5E2+-+6x+%2B+5+=+0\"$ Solve by quadratic formula: $\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"$
\n" ); document.write( " $\"x=%28-%28-6%29%2B-sqrt%28%28-6%29%5E2-4%282%29%285%29%29%29%2F2%282%29\"$
\n" ); document.write( " $\"x=%286%2B-sqrt%2836-40%29%29%2F4\"$
\n" ); document.write( " $\"x=%286%2B-sqrt%28-4%29%29%2F4\"$
\n" ); document.write( " $\"x+=3%2F2\"$ +or- $\"%281%2F2%29i\"$
\n" ); document.write( "or, in decimal form:
\n" ); document.write( "x = 1.5 + or - 0.5i \n" ); document.write( "

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