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If one of its zero of polynomial f (x)=4x2 -8k (x) -9 is negative of other find the value of k

Posted by Aman Kaur 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

Let, the two zeroes of the polynomial f(x) = 4x² - 8kx - 9 be α and -α.
Comparing f(x) = 4x² - 8kx - 9 with ax²+bx+c we get
a = 4; b = -8k and c = -9.
Sum of the zeroes = α + (-α) ={tex}-\frac ba=\;-\frac{-8k}4 {/tex}
0 = 2k
k = 0

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