document.write( "Question 60580: Help Please! Find the exact an approximate solution. Find two positive real numbers that differ by one and have a product of one. \n" ); document.write( "

Algebra.Com's Answer #41581 by venugopalramana(3286) $\"\"$ $\"About$

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Help Please! Find the exact an approximate solution. Find two positive real numbers that differ by one and have a product of one.
\n" ); document.write( "LET ONE NUMBER = X
\n" ); document.write( "OTHER NUMBER = X-1
\n" ); document.write( "PRODUCT = X(X-1)=1
\n" ); document.write( "X^2-X=1
\n" ); document.write( "X^2-X-1=0.....COMPARING WITH AX^2+BX+C=0...A=1...B=-1....C=-1
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"x+=+%28-%28-1%29+%2B-+sqrt%28+%28-1%29%5E2-4%2A1%2A%28-1%29+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( " $\"x+=+%281+%2B-+sqrt%28+1%2B4+%29%29%2F%282%29+\"$
\n" ); document.write( " $\"x+=+%281+%2B-+sqrt%28+5+%29%29%2F%282%29+\"$
\n" ); document.write( "SINCE POSITIVE NUMBERS ARE ASKED FOR THEY ARE
\n" ); document.write( "[1+SQRT(5)]/2 AND [1+SQRT(5)]/2 -1..OR ....[SQRT(5)-1]/2 \n" ); document.write( "

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