SOLUTION: Find all possible numbers where twice the reciprocal of the square of a number less three times the reciprocal of a number is -1.

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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.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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.
:
2%2Fx%5E2 - 3%2Fx = -1
multiply eq by x^2, canceling the denominators, resulting in:
2 - 3x = -x^2
Combine as a quadratic equation on the left
x^2 - 3x + 2 = 0
Factors to
(x-1)(x-2) = 0
Two solutions
x = 1
and
x = 2