Question

if alpha and beta are the zeros of the given polynomial p(x) = 4x^2 - x - 4 . find alpha - beta. (class 10th maths chapter polynomial) ​

Answer 1

Answer:

Alpha - Beta = 2

Step-by-step explanation:

p(x) = 4x^2 - x - 4

Alpha + Beta = 1/4

Alpha × Beta = -1

ATQ,

Alpha - Beta = √(Alpha+Beta)^2 - 4Alpha×Beta

Alpha - Beta = √1/16 - 4×-1

Alpha - Beta = √1/16 + 4

Alpha - Beta = √64/16

Alpha - Beta = 8/4 = 2