document.write( "Question 738977: Find all possible numbers where twice the reciprocal of the square of a number less three times the reciprocal of a number is -1. \n" ); document.write( "

Algebra.Com's Answer #451013 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Find all possible numbers where twice the reciprocal of the square of a number less three times the reciprocal of a number is -1.
\n" ); document.write( ":
\n" ); document.write( " $\"2%2Fx%5E2\"$ - $\"3%2Fx\"$ = -1
\n" ); document.write( "multiply eq by x^2, canceling the denominators, resulting in:
\n" ); document.write( "2 - 3x = -x^2
\n" ); document.write( "Combine as a quadratic equation on the left
\n" ); document.write( "x^2 - 3x + 2 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x-1)(x-2) = 0
\n" ); document.write( "Two solutions
\n" ); document.write( "x = 1
\n" ); document.write( "and
\n" ); document.write( "x = 2
\n" ); document.write( " \n" ); document.write( "

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