Question

if alpha and bita are the zeroes of the quadratic polynomial xsquare+Kx+12 such that alpha - bita= 1,find the value of K​

Answer 1

Answer:

Step-by-step explanation:

hello 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!!

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Answer 2

Step-by-step explanation:

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!!