If alpha and beta are the zeroes of the polynomial x^2+kx+12,such that alpha-bitta =1,find the value of k
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Hey
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 it helps you!
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 it helps you!
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