Which of the following are roots of an equation (x^-2)+(x^-1)-20=0 Choose the correct choice from the following choices.
A) 1/5 and -1/4  B) -1/5 and 1/4  C) 1/5 and 1/4  D) -1/5 and -1/4  E) -5/2 and -1/4
Given: (x^-2) + (x^-1) - 20 = 0   Rewrite as: 1/(x²) + 1/x - 20 = 0   Remove fractions by multiplying both sides by x² to get: 1 + x - 20x² = 0   Rearrange to get: 20x² - x - 1 = 0   Factor to get: (5x + 1)(4x - 1) = 0   So, EITHER 5x + 1 OR 4x - 1 = 0   If 5x + 1 = 0, then x = -1/5   If 4x - 1 = 0, then x = 1/4   So, the roots (solutions) are -1/5 and 1/4   The answer is -1/5 and 1/4.
<result>B</result>
Which of the following are roots of an equation (x^-2)+(x^-1)-20=0