document.write( "Question 38330: 3x over 4x-1 = 1 over x \n" ); document.write( "

Algebra.Com's Answer #23816 by Earlsdon(6294) $\"\"$ $\"About$

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Solve:
\n" ); document.write( " $\"3x%2F%284x-1%29+=+1%2Fx\"$ Cross-multiply.
\n" ); document.write( " $\"3x%5E2+=+4x-1\"$ Subtract (4x-1) from both sides.
\n" ); document.write( " $\"3x%5E2-4x%2B1+=+0\"$ Factor.
\n" ); document.write( " $\"%283x-1%29%28x-1%29+=+0\"$ Apply the zero products principle.
\n" ); document.write( " $\"3x-1+=+0\"$ and/or $\"x-1+=0\"$
\n" ); document.write( "If $\"3x-1+=+0\"$ then $\"3x+=+1\"$ and $\"x+=+1%2F3\"$
\n" ); document.write( "If $\"x-1+=+0\"$ then $\"x+=+1\"$
\n" ); document.write( "Roots are:
\n" ); document.write( " $\"x+=+1%2F3\"$
\n" ); document.write( " $\"x+=+1\"$ \n" ); document.write( "

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