If one of the zero of4x2-9-8kx is negative of the other find k
Answers
Answered by
0
Let one of Zero of the polynomial be " z"
We need to assume it then the other zero will be negative of it that is -z
so,
Equate the quadratic equation to zero as it satisfies it.
4x² - 9 - 8kx = 0
sum of zeroes = -b/a
z+ (-z) = -(-8k)/4
0 = 2k
2k = 0
K = 0
Answered by
1
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.
Similar questions