document.write( "Question 150581: f(x)= x+1/3x-1\r
\n" ); document.write( "\n" ); document.write( "find the value of c if f(c)=c \n" ); document.write( "

Algebra.Com's Answer #110702 by Fombitz(32388) $\"\"$ $\"About$

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f(x)=(x+1)/(3x-1)
\n" ); document.write( "If f(c)=c, then
\n" ); document.write( " $\"%28c%2B1%29%2F%283c-1%29=c\"$
\n" ); document.write( " $\"%28c%2B1%29=c%283c-1%29\"$
\n" ); document.write( " $\"c%2B1=3c%5E2-c\"$
\n" ); document.write( " $\"3c%5E2-2c-1=0\"$
\n" ); document.write( "Using the quadratic formula to solve for c,
\n" ); document.write( " $\"c+=+%28-%28-2%29+%2B-+sqrt%28+%28-2%29%5E2-4%2A3%2A%28-1%29+%29%29%2F%282%2A3%29+\"$
\n" ); document.write( " $\"c+=+%282+%2B-+sqrt%28+4%2B12%29%29%2F%286%29+\"$
\n" ); document.write( " $\"c+=+%282+%2B-+sqrt%28+16%29%29%2F%286%29+\"$
\n" ); document.write( " $\"c+=+%282+%2B-+4%29%2F%286%29+\"$
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\n" ); document.write( " $\"c%5B1%5D+=+%282+%2B+4%29%2F%286%29+\"$
\n" ); document.write( " $\"c%5B1%5D+=+%286%29%2F%286%29+\"$
\n" ); document.write( " $\"c%5B1%5D+=+1+\"$
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\n" ); document.write( " $\"c%5B2%5D+=+%282+-+4%29%2F%286%29+\"$
\n" ); document.write( " $\"c%5B2%5D+=+%28-2%29%2F%286%29+\"$
\n" ); document.write( " $\"c%5B2%5D+=+-%281%2F3%29+\"$
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