Question

hey guys



Answer this Question Please

Answer 1

Answer:

k = ±4

Step-by-step explanation:

Let the zeroes of the polynomial is α,β.

Given polynomial is (k² - 14)x² - 2x - 4.

Here, a = (k² - 14), b = -2, c = -4.

Sum of zeroes:

We know that Sum of zeroes = -b/a

⇒ α + β = -(-2)/(k² - 14)

⇒ 1 = 2/(k² - 14)

⇒ k² - 14 = 2

⇒ k² = 16

⇒ k = ±4.

Hope it helps!