Question

If A=3 B=-1, find (A/B+B/A)raised to-1

Answer 1

Step-by-step explanation:

Given that A = 3 , B = -1

$= {( \frac{A}{B} + \frac{B}{A} )}^{ - 1} \\ = { (\frac{3}{ - 1} + \frac{ - 1}{3} ) }^{ - 1} \\ = { (- 3 + \frac{ - 1}{3}) }^{ - 1} \\ = { (- 3 - \frac{1}{3}) }^{ - 1} \\ = { (\frac{ - 9 - 1}{3} )}^{ - 1} \\ = { (\frac{ - 10}{3}) }^{ - 1} \\ = \frac{ - 3}{10}$