Question

if one zero of the polynomial 8 x square + kx - 81 is the sequence of others find k​

Answer 1

Step-by-step explanation:

Let one root of given equation is r

Then other root of given equation is r²

Now, product of roots = r.r² = r³ = constant/coefficient of x²

r³ = 27 = 3³

⇒ r = 3

Now, sum of roots = r + r² =- coefficient of x/coefficient of x² = - k/3

3 + 3² = - k/3

⇒12 × 3 = -k

⇒k = -36

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