Question

if one of thr zeros of the quadratic polynomial f(x)=14 x square - 42 K Square x - 9 is negative of the Other find the value of k

Answer 1

Answer:

Given that one of the zeros is the negative of other.

Let a and b be the zeros the polynomial.

According to the question,

b = -a

Therefore, Sum of roots is 0.

There is a small correction in the question, it is:

Given Polynomial: 14x² - 42k²x + x - 9 = 0

So According to the formulae,

Sum of roots = - ( Coefficient of x ) / ( Coefficient of x² )

⇒ 0 = - ( 42k² ) / ( 14 )

⇒ 0 * 14 = -42k²

⇒ 0 = -42k²

⇒ k² = 0 / -42

⇒ k² = 0

⇒ k = √0 = 0

Hence the value of k is 0.

Answer 2

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