if,, α and β are the zeroes of polynomials f(x)=x2-5x+k such that α-β=1 find the value of k
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Answered by
17
given that alpha and beta are zeroes
therefore
alpha+beta=5----------1
and it is given that
alpha -beta =1----------2
add equation 1 and 2
u get , 2 alpha =6
or alpha =3
on putting it in equation 2 u get beta as 2
now,
alpha×beta=c/a
or
=k
and we know the values of alpha and beta so we get that value of k is 6.
hope it help!!
therefore
alpha+beta=5----------1
and it is given that
alpha -beta =1----------2
add equation 1 and 2
u get , 2 alpha =6
or alpha =3
on putting it in equation 2 u get beta as 2
now,
alpha×beta=c/a
or
=k
and we know the values of alpha and beta so we get that value of k is 6.
hope it help!!
Answered by
1
Answer:
k=6
Step-by-step explanation:
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