document.write( "Question 190570: The original problem is: 5 + 1/x-1/x^2=0
\n" ); document.write( "I don't know how they reset it as: 5x^2+x-1=0
\n" ); document.write( "Please assist in this determination. Thank you. \n" ); document.write( "

Algebra.Com's Answer #143038 by nerdybill(7384) $\"\"$ $\"About$

You can put this solution on YOUR website!
Well, if you started with:
\n" ); document.write( " $\"5+%2B+1%2Fx+-+1%2Fx%5E2+=+0\"$
\n" ); document.write( ".
\n" ); document.write( "To rid yourself of all denominators, multiply BOTH sides by x^2 (common denominator):
\n" ); document.write( " $\"x%5E2%285+%2B+1%2Fx+-+1%2Fx%5E2%29+=+x%5E2%280%29\"$
\n" ); document.write( "Distributing the x^2:
\n" ); document.write( " $\"5%28x%5E2%29+%2B+%281%2Fx%29%28x%5E2%29+-+%281%2Fx%5E2%29%28x%5E2%29+=+0\"$
\n" ); document.write( " $\"5x%5E2+%2B+x%5E2%2Fx+-+x%5E2%2Fx%5E2+=+0\"$
\n" ); document.write( "Through cancellation we get:
\n" ); document.write( " $\"5x%5E2+%2B+x+-+1+=+0\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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