Find all values of x such that 9 + 27/x + 8/x^2 = 14/x + 1/x^2. If you find more than one value, then list your solutions, separated by commas.
9 + 27/x + 8/x^2 = 14/x + 1/x^2 rearrange as
7/x^2 + 13/x + 9 = 0 multiply through by x^2
9x^2 + 13x + 7 = 0
-13 ±√ [ 13^2 - 4 * 9 * 7 ] - 13 ±√-83 -13 ± i√83
x = _____________________ = __________ = ____________
2 * 9 18 18
