Question

Persamaan kuadrat X^2-8X+9=0 akar akar p dan q. Nilai p^2+q^2-pq=..... A. 46 B. 37 C.24 D.18 E.12

Answer 1

Verified answer

[Persamaan Kuadrat]

x² - 8x + 9 = 0

Berdasarkan Teorema Vietta
P + Q = -b/a
P + Q = 8

P . Q = c/a
P . Q = 9

Maka...
p² + q² - pq
= (p + q)² - 2pq - pq
= (p + q)² - 3pq
= (8)² - 3(9)
= 64 - 27
= 37