By Vieta r + s = - 4/3 and r s = -12/3 = - 4
(r +s)^2 = r^2 + s^2 + 2 rs
(-4/3)^2 = ( r^2 + s^2) + 2 ( -4) you can finish, yah?
(-4/3)^2 = ( r^2 + s^2) + 2 ( -4) you can finish, yah?
Just simple algebra from here :
16/9 = ( r2 + s2) - 8
(16/9 ) + 8 = r2 + s2