Discussion

Explanation:

Given x2 + ax – 27 = 0

Let α and β be the roots of given equation and α = β2 (given)

Sum of roots = α + β = - a 
⇒ β + β2 = - a   …(1)

Product of roots = αβ = - 27  
⇒ β3 = - 27
⇒ β = - 3

Using β = - 3 in (1)
⇒ - a = - 3 + 9 = 6 
∴ a = - 6

Hence, option (c).

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