Question

if the alpha and beta are in the ratio of 2:3 p(x) = x square -p x +6 find p​

Answer 1

Answer:

5

Step-by-step explanation:

alpha+beta = p

alpha.beta = 6

alpha÷ beta =2÷3

alpha= 2

beta= 3

p= 5

Answer 2

Answer:

±5

Step-by-step explanation:

let, alpha be 2y and beta be 3y

product of roots = 6

=> 2y * 3y = 6

=> y² = 1

=> y = ±1

=> alpha = 2 & beta = 3

or

alpha = -2 & beta = -3

sum of roots = p

=> p = 2 + 3 = 5

or

p = (-2) + (-3) = -5

therefore, p = ±5

HOPE IT HELPS : )