Question

Persamaan kuadrat 3x-7x+5=0 mempunyai akar akar alfa dan belta .persamaan kuadrat baru yang akar akarnya 3 alfa dan 3 belta adalah......

Answer 1

Verified answer

Jawab

3x^2  -7x + 5= 0
α+β = 7/3
α.β = 5/3

p = 3α, q = 3β
p+ q = 3 (α+β)= 3(7/3) = 7
p .q = 3α . 3β = 9(αβ) = 9(5/3) = 15

PK baru x² - (p+q)x + (pq) = 0
x²- 7x + 15 = 0