Question

alpha and beta are the zeros of 12 x square - 5 x minus 2 then Alpha minus beta​

Answer 1

Step-by-step explanation:

alpha + beta =-b/a=-(-5)/12=5/12

alpha into beta = c/a = -2/12=-1/6

(alpha +beta)^2= (5/12)^2

alpha^2 + beta^2 +2*alpha*beta =25/144

alpha^2 + beta^2 +2*(-1/6)=25/144

alpha^2 + beta^2 =25/144 + 1/3 = 73/144

(alpha - beta)²

= alpha^2 + beta^2 -2*alpha*beta

= 73/144 - (-1/3) = 73/144 + 1/3

= 121/144

alpha - beta= sqrt of 121/144 = + or - 11/12