MathNet 2015-part-03 — 191 problems (EN–VI) Question 26

Determine the values of the parameter $\alpha \in \mathbb{R}$ for which the equation $x^2 + (\alpha - 2)x - (\alpha - 1)(2\alpha - 3) = 0$ has two roots such that the one of them is equal to the square of the other.