SOLUTION: For all integers p and q, let # be defined by p # q = p^2 + q^2 + 2pq . Which of the following CANNOT be the value of p # q? a.1 b.0 c.9 d.4 e.2

SOLUTION: For all integers p and q, let # be defined by p # q = p^2 + q^2 + 2pq . Which of the following CANNOT be the value of p # q? a.1 b.0 c.9 d.4 e.2

Algebra.Com

Question 511345: For all integers p and q, let # be defined by p # q = p^2 + q^2 + 2pq . Which of the following CANNOT be the value of p # q?
a.1
b.0
c.9
d.4
e.2
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
It is apparent that p # q = (p+q)^2. Since the function is only defined on integers p and q, the domain must be the perfect squares, so E)2 cannot be the value of p # q.
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