This is one very delicious problem that shows how inequality could come into the picture and help in solving system of equations.
Given that $p, q, r, s$ are all positive real numbers and they satisfy the system
$p+q+r+s=12$
$pqrs=27+pq+pr+ps+qr+qs+rs$
Determine $p, q, r$ and $s$.
Okay, our intuition tells us the logic doesn't follow for this problem because we all know very well solving a system of two nonlinear equations in four variables sounds pretty much like a mission impossible.
Showing posts with label satisfy the system. Show all posts
Showing posts with label satisfy the system. Show all posts
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