Question

Akar2 persamaan kuadrat x pangkat 2 - 7x - p = 0
alfa dan beta, jika alfa pangkat 2 + beta pangkat 2 = 29, nilai p=

Answer 1

Α² + β² = 29
(α + β)² - 2αβ = 29

x² - 7x - p = 0
a = 1
b = -7
c = -p

α + β = -b/a = -(-7)/1 = 7
αβ = c/a = -p/1 = -p
(α + β)² - 2αβ = 29
(7)² - 2.(-p) = 29
49 + 2p = 29
2p = 29 - 49
2p = -20
p = -10