Diketahui p dan q merupakan akar-akar dari persamaan kuadrat 3x kuadrat 2 - 4x - 2 = 0. Nilai dari p/q + q/p = ......

3x² - 4x - 2 = 0

a = 3 , b = - 4 , c = - 2

p + q = -b/a = 4/3

p • q = c/a = - 2/3

nilai
p/q + q/p

= ( p • p ) + ( q • q )
-----------------------------
( p • q )

= p² + q²
--------------
pq

= ( p + q )² - 2pq
------------------------
pq

= ( 4/3)² - 2 ( -⅔ )
-------------------------
- ⅔

= 16/9 + 4/3
------------------
- ⅔

= 16/9 + 12/9
-------------------
- ⅔

= 28/9 ÷ ( - ⅔ )

= 28/9 × ( -3/2)

= - 14/3

= - 4 ⅔