Arun
Last Activity: 7 Years ago
If alpha = -1/2 is a root hence alpha should satisfy this quadratic equation
Put x = -1/2
8* 1/4 +b/2 -3 = 0
b/2 = 3-2
b/2 = 1
Hence
b = 2
Now equation becomes
8x² -2x-3 = 0
Then by formula
x = 12/16 = 3/4 & x = -1/2
Hence
Beta = ¾
Now
(1/alpha - 1/beta)²
= (-2 -4/3)²
= 100/9
Hope it helps
May be calculation mistake is lresent somewhere but concept is right