m dan n merupakan akar akar persamaan 3x2-4x-2=0 maka m2 + n2 adalah

m2 + n2 = (m+n)2 - 2(m)(n)

m+n= -b/a = 4/3
(m)(n) = c/a = -2/3

m2 + n2 = (4/3)2 - 2(-2/3)
=16/9 - (-4/3)
=28/9
=3 1/9


Maaf kalau salah

3x² - 4x - 2 = 0 → dengan a = 3, b = -4, c = -2

m + n = -b/a = -(-4)/3 = 4/3

m.n = c/a = -2/3

Jadi:
m² + n²
= (m + n)² - 2m.n
= (4/3)² - 2(-2/3)
= 16/9 + 4/3
= 16/9 + 12/9
= 28/9
= 3¹/₉