One root of x2 + ax – 27 = 0 is square of the other. Then the value of a is
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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