document.write( "Question 98170: find two positive real numbers that differ by 1 and have a product of 1 \n" ); document.write( "

Algebra.Com's Answer #71385 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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ind two positive real numbers that differ by 1 and have a product of 1
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\n" ); document.write( "The two numbers x, (x-1)
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\n" ); document.write( "The product = 1
\n" ); document.write( "x(x-1) = 1
\n" ); document.write( "x^2 - x = 1
\n" ); document.write( "x^2 - x - 1 = 0, a quadratic equation, solve using formula
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\n" ); document.write( " $\"x+=+%28-%28-1%29+%2B-+sqrt%28+-1%5E2+-+4+%2A+1+%2A-1+%29%29%2F%282%2A1%29+\"$
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\n" ); document.write( " $\"x+=+%28%2B1+%2B-+sqrt%28%2B1+%2B+4+%29%29%2F%282%29+\"$
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\n" ); document.write( "Two solutions
\n" ); document.write( " $\"x+=+%28%2B1+%2B+sqrt%285%29%29%2F%282%29+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"x+=+%28%2B1+-+sqrt%285%29%29%2F%282%29+\"$
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\n" ); document.write( "The two numbers, approx, +1.618 and +.618
\n" ); document.write( "or
\n" ); document.write( "The two numbers, approx, -.618 and -1.618\r
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