Akar akaruntuk persamaan kuadrat 3x² + 5x + m = 0 adalah a dan b. Jika a² + b² =5 , tentukan nilai m!

3x² + 5x + m = 0
a = 3 ; b = 5 ; c = m

x1 + x2 = -b/a = -5/3
x1 . X2 = c/a = m / 3

(a + b)² = a² + b² + 2ab
a² + b² = (a + b)² - 2ab
5 = (-5/3)² - 2(m/3)
5 = (25/9) - 2m/ 3
5 × 9 = 25 - 6m
45 - 25 = -6m
-6m = 20
m = -20/6
m = -10/3