Jika a dan b adalah akar-akar persamaan kuadrat 2x2 - 5x + 6 = 0 , nilai a/b + b/a =

a + b = 5/2
a.c = 6/2 = 3, maka
[tex] \frac{a}{b} + \frac{b}{a} = \frac{ {a}^{2} + {b}^{2} }{ab} = \frac{ {(a + b)}^{2} - 2ab }{ab} = \frac{ {(5 \div 2)}^{2} - 2(3)}{3} = \frac{ \frac{25}{4} - 6 }{3} = \frac{1}{12} [/tex]