Question

Ini penyelesaiannya gimana?

Answer 1

X² - 3x - 2 = 0
α + β = -b/a = 3
αβ = c/a = -2
α² + β² = (α + β)² - 2αβ = 3² - 2(-2) = 13

jumlah = (α² + 1) + (β² + 1) 
= α² + β² + 2 = 13 + 2 = 15

kali = (α² + 1) . (β² + 1)
= (αβ)² + α² + β² + 1
= (-2)² + 13 + 1 = 18

pers kuadrat
x² - jumlah x + kali = 0
x² - 15x + 18 = 0