3×x2−2×x−5=0={x=53x=−1}
So alpha = 5/3 and beta = -1
To get the (quadratic) equation whose roots are alpha2 and beta2 we construct:
(x - alpha2)*(x-beta2) = 0 or:
x2 -(alpha2+beta2)*x + alpha2*beta2 = 0
I'll leave you to put the numbers in.
Wow Very Cmplex Math