SOLUTION: The number obtained by adding the squares of a number and its reciprocal is greater by 7/4 than the sum of the number and its reciprocal. Find the number.

Question 1067585: The number obtained by adding the squares of a number and its reciprocal is greater by 7/4 than the sum of the number and its reciprocal. Find the number.
Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!

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, best common denominator is .

You can try checking possible roots of PLUS&MINUS of 1/4, 1/2, 1, 2, 4 according to Rational Roots Theorem and synthetic division. The only two REAL (and rational) roots found will be and .

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