Find all values of the real parameter $a$, so that the equation $x^2+(a-2)x-(a-1)(2a-3)=0$ has two real roots, so that the one is the square of the other.
Source: Archimedes Junior 2015
Tags: algebra
Find all values of the real parameter $a$, so that the equation $x^2+(a-2)x-(a-1)(2a-3)=0$ has two real roots, so that the one is the square of the other.