document.write( "Question 1118033: If sqrt(5)= 2+ 1/a, show that a= 4+1/a \n" ); document.write( "

Algebra.Com's Answer #733330 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "(1) Rewrite the given equation as $\"1%2Fa+=+sqrt%285%29-2\"$ , and rewrite the equation to be shown as $\"a-1%2Fa+=+4\"$

\n" ); document.write( "(2) Solve the given equation to find a.

\n" ); document.write( " $\"1%2Fa+=+sqrt%285%29-2\"$
\n" ); document.write( " $\"a+=+1%2F%28sqrt%285%29-2%29+=+%28sqrt%285%29%2B2%29%2F%285-4%29+=+sqrt%285%29%2B2\"$

\n" ); document.write( "(3) $\"a-1%2Fa+=+%28sqrt%285%29%2B2%29-%28sqrt%285%29-2%29+=+4\"$ \n" ); document.write( "

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