Multiple choice

In the following questions two equations numbered I and II are given. You have to solve both equations and give answer. $( (I) \quad p^2 + q^2 = 12.50 ) ( (II) \quad p + q = 5 )$

  1. p = q or relation can't be established.

  2. p > q

  3. q > p

  4. p ≥ q

  5. q ≥ p
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Solving the system: From p+q=5, q=5-p. Substituting in p^2+q^2=12.50 gives 2p^2-10p+12.50=0, which simplifies to (p-2.5)^2=0, so p=2.5 and q=2.5. Therefore p = q.

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