Real Solutions

Level pending

For the simultaneous equations x + y = 2 p − 8 , x 2 + y 2 = 2 p 2 − 32 p + 76 x+y = 2p-8,\, x^2+y^2 = 2p^2-32p+76 to have real solutions, it must be the case that p ≤ a . p \leq a. What is the real number a ? a?

25 25 10 10 15 15 20 20

Ajay Dutta by Ajay Dutta , 24, India

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