Question

if alpha and beta are the zeroes of the quadratic polynomial x square + kx +12 such that alpha - beta =1 then find the value of k

Answer 1

hai friend,

here is your answer,

let α, β roots of x²+kx+12

we know that

product of roots = α*β = c/a =12/1=12

given

α-β =1
α=β +1

12=3(3+1)

so roots are 3,4

formula :-
sum of roots= α+β = -b/a = -k

sum of roots =3+4=7

-k=7

k=-7

hope helped!!