Problem 90 *

Find the sum of all values of a such that the equation (x^2 - x + a + 1)^2 = 4a(5x^2 - x + 1) has 3 distinct real solutions.

[originally posted by Jkn on TSR]

does it have to have exactly 3 roots

Copied this verbatim but this is how Iā€™d read it

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