Question

If the sum of the zeroes of the polynomial p(x) = (k2 – 14) x2 – 2x – 12 is 1, then find the value of k.

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Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

The values of k are -4 and 4

Step-by-step explanation:

The given polynomial is (k²-14)x²-2x-12

The sum of zeros of a quadratic equation is -b/a.

Hence, the sum of the zeros of the given quadratic is

-(-2)/(k²-14)

2/(k²-14)

Now, from the given directions, this expression should be equal to 1.

2/(k²-14) = 1

k²-14 = 2

k² = 16

k = ñ4