Question

if alpha and beta are the zeros of the quadratic plynomial that alpha - beta is 8 and alha + beta s 24 . find the quadratic equation

Answer 1

Answer:

Step-by-step explanation:

Alpha + beta = 24

Alpha = 24 - beta

Alpha - beta = 8

Putting value of alpha

24 - beta - beta = 8

24 - 8 = 2bets

16 = 2 beta

Beta = 16 / 2 = 8

Alpha = 24 - 8 = 16

Alpha. Beta = 8 × 16 = 128

Eq = x² - (alpha + beta )X + (alpha. Beta)

= x² - 24x + 16 = 0