4x2 - 8kx - 9 = 0. alpha = -beta. find k
qais:
alpha and beta are roots??
Answers
Answered by
1
α and β are roots of the given equation.
and α= -β
⇒(α+β)=0
x² -(α+β)x +αβ =0
comparing this with the given equation,
-8k/4 = 0
⇒k=0
so the equation will be 4x²-9 =0
x= 3/2 and -3/2
and α= -β
⇒(α+β)=0
x² -(α+β)x +αβ =0
comparing this with the given equation,
-8k/4 = 0
⇒k=0
so the equation will be 4x²-9 =0
x= 3/2 and -3/2
Answered by
0
Step-by-step explanation:
Answer :-
→ k = 0 .
Step-by-step explanation :-
It is given that,
→ One zeros of the given polynomial is negative of the other .
Let one zero of the given polynomial be x .
Then, the other zero is -x .
•°• Sum of zeros = x + ( - x ) = 0 .
But, Sum of zeros = -( coefficient of x )/( coefficient of x² ) = - ( -8k )/4 .
==> 2k = 0 .
==> k = 0/2 .
•°• k = 0 .
Hence, it is solved.
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