Multiple choice

In each of the following question, equations are given. You have to solve them and state the correct relationship- (I. P^2 – 6P – 16 = 0 ) (II. Q^2 + 6Q – 16 = 0)

  1. If P≥Q

  2. If P>Q

  3. If P<Q

  4. If P≤Q

  5. If P=Q or relationship cannot be established
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Solve equation I: P^2 - 6P - 16 = 0 gives P = 8 or P = -2. Solve equation II: Q^2 + 6Q - 16 = 0 gives Q = 2 or Q = -8. Comparing all possible pairs: if P=8 and Q=2, then P>Q; if P=-2 and Q=2, then PQ. Since the relationship changes based on which values we pick, it cannot be established.

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