document.write( "Question 401097: x^2-x-1=0 \n" ); document.write( "

Algebra.Com's Answer #283988 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
The equation will not factor so we must use the Quadratic Formula (or complete the square):
\n" ); document.write( " $\"x+=+%28-%28-1%29+%2B-+sqrt%28%28-1%29%5E2+-+4%281%29%28-1%29%29%29%2F2%281%29\"$
\n" ); document.write( "which simplifies as follows:
\n" ); document.write( " $\"x+=+%28-%28-1%29+%2B-+sqrt%281+-+4%281%29%28-1%29%29%29%2F2%281%29\"$
\n" ); document.write( " $\"x+=+%28-%28-1%29+%2B-+sqrt%281+%2B4%29%29%2F2%281%29\"$
\n" ); document.write( " $\"x+=+%28-%28-1%29+%2B-+sqrt%285%29%29%2F2%281%29\"$
\n" ); document.write( " $\"x+=+%281+%2B-+sqrt%285%29%29%2F2\"$
\n" ); document.write( "In long form this is:
\n" ); document.write( " $\"x+=+%281+%2B+sqrt%285%29%29%2F2\"$ or $\"x+=+%281+-+sqrt%285%29%29%2F2\"$ \n" ); document.write( "

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