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If P 2 + 4Q 2 = 4PQ, then determine P : Q.

Correct Answer: 2 : 1

Explanation:

P2 + 4Q2 = 4PQ
⇒ P2 + 4Q2 - 4PQ = 0
⇒ (P - 2Q)2 = 0
⇒ P - 2Q = 0
⇒ P = 2Q
∴ P/Q = 2/1
∴ P : Q = 2 : 1


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