SOLUTION: Determine all values of k that make the following a perfect square trinomial: 169n^2 + knp + 100p^2

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Question 38165: Determine all values of k that make the following a perfect square trinomial: 169n^2 + knp + 100p^2
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+169n%5E2+%2B+knp+%2B+100p%5E2+
Since we are told this is a perfect square trinomial ... lets factor.
+%2813n%2B10p%29%2813n%2B10p%29+ OR +%2813n-10p%29%2813n-10p%29+
No where does it say that "K" has to be positive
+%2813n%2A10p%29%2B%2813n%2A10p%29+ or +%2813n%2A-10p%29%2B%2813n%2A-10p%29+
+%28130np%29%2B%28130np%29+ or +%28-130np%29%2B%28-130np%29+
+260np+ or +-260np+
K can equal +260 or -260