Çözüldü Conjugate Roots of Quadratic Equations - Product of the Roots - Algebraic Identities

One of the so-called "hardest" SAT problems to be mentally solved in a few seconds:

https://i.ibb.co/sfMQ0kn/SAT.png
https://soflotutors.com/blog/15-hardest-sat-math-questions-you-should-be-ready-for-in-2023/
(Question 15)

Through Thinking Only:
The other root is the conjugate of the root given in the problem, and their product will be c / a based on the standard form of
ax^2 + bx + c = 0 quadratic equation, so applying the most famous algebraic identity (x - y)(x + y) = x^2 - y^2 to the multiplication of these roots, which are the conjugates of one another, the result will simply be 25 - n = 14 / 1 ⇒ n = 11.

The Solution Unnecessarily Using the Formula:

https://i.ibb.co/v4SKGTQY/SAT-sol.png