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One root of $x^{2} + kx – 8 = 0$ is square of the other. Then, the value of k is:

  1. $2$ 
  2. $8$ 
  3. $-8$ 
  4. $-2$
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Let the roots of the quadratic equation be α and α2.

Product of roots = α*α2 = -8

α3 = -8

α = -2

Roots are -2 and 4 , now put the roots in given equation

42 + 4k - 8 = 0

k = -2

Option D is Correct.

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