Which of the following are roots of an equation (x^-2)-(x^-1)-30=0
Choose the correct choice from the following answers:
A) 1/5 and -1/6
B) -1/5 and 1/6
C) 1/5 and 1/6
D) -1/5 and -1/6
E) -5/2 and -1/6
Given: (x^-2) - (x^-1) - 30 = 0   Rewrite as: 1/(x²) - 1/x - 30 = 0   Remove fractions by multiplying both sides by x² to get: 1 - 1x - 30x² = 0   Rearrange to get: 30x² + x - 1 = 0   Factor to get: (5x + 1)(6x - 1) = 0   So, EITHER 5x + 1 OR 6x - 1 = 0   If 5x + 1 = 0, then x = -1/5   If 6x - 1 = 0, then x = 1/6   So, the roots (solutions) are -1/5 and 1/6   The answer is -1/5 and 1/6.
<result>B</result>
Which of the following are roots of an equation (x^-2)-(x^-1)-30=0