Question

If alpha and beta are the zeros of the quadratic polynomial x square minus kx + 1 - ans + beta + beta + 1 equal to zero find a

Answer 1

Primary SchoolMath5 points

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

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HappiestWriter012 Genius

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!!