find k if one of the zeroes is negative.
and explain the importance of this question.
Class 10th rd Sharma important question of polynomials chapter.
mehakNewbie
If one of the zeros of the quadratic polynomial f(x) = 4×2 – 8kx – 9 is negative of the other, then find the value of k.
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Solution:
From the question, it’s given that
The quadratic polynomial f(x) where a = 4, b = -8k and c = – 9
And, for roots to be negative of each other, let the roots be α and – α.
So, we can find
Sum of the roots = α – α = -b/a = – (-8k)/1 = 8k = 0 [∵ α – α = 0]
⇒ k = 0