Given that p & q = $p^2 + q^2 - 4p*q$ , for which value of q does p&q equal $p^2$ for every value of $p$ ?

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-4

-2

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Official Explanation

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We start with the equation p&q = p^2 + q^2 - 4pq. We want to find the value of q such that p&q = p^2. This leads us to the equation

p^2 + q^2 - 4pq = p^2

. Simplifying this…

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What this question tests

Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.

Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.