persamaan kuadrat 2x²+ (p-1)x+15 =0 mempunyai akar akar m dan n. jika m:n = 3: 10,nilai p yang memenuhi adalah..

2x² +(p-1) x + 15 = 0,akr akarnya m dan n
a= 2
b = p-1
c = 15

m+n = -b/a = (p-1)/2
m n = c/a = 15/2

m: n = 3 : 10 –> misalkan m = 3y dan n = 10y

m+n = (p-1)/2
3y +10y = (p-1)/2
p-1 = 2(13y) 
p -1 = 26 y
p = 26y    + 1

mn = 15/2 –> (3y)(10y) = 15/2
30y² = 15/2
y² = 15/60 = 1/4
y = 1/2

p = 26y + 1
p = 26(1/2) + 1
p = 13 + 1
p= 14