For given positive real numbers $a$, $c$ and negative real number $b$, $$a^{2}b > abc + c^{2}$$ Given that the inequality is satisfied, which of the following is necessarily true? A) $a = |b|$ B) $a = c$ C) $c > |b|$ D) $a < c$ E) $c < a$
For given positive real numbers $a$, $c$ and negative real number $b$,
$$a^{2}b > abc + c^{2}$$
Given that the inequality is satisfied, which of the following is necessarily true?
A) $a = |b|$\\
B) $a = c$\\
C) $c > |b|$\\
D) $a < c$\\
E) $c < a$