Question

Persamaan kuadrat X2 + 5x – 3 = 0, mempunyai akar p dan q. Nilai p2 + q2 = .......

Answer 1

X² + 5x - 3 = 0
a = 1
b = 5
c = -3

p + q = -b/a
p + q = -5/1
p + q = -5

p . q = c/a
p . q = -3/1
p . q = -3

p² + q²
= (p + q)² - 2pq
= (-5)² - 2 . (-3)
= 25 + 6
= 31