If \( p \) and \( q(\neq 0) \) are the roots of the equation \( x^{2}+ \) \( p x+q=0 \) , then find the least value of \( x^{2}+p x+q \) where \( \mathrm{x} \in \mathbb{R} \) ?
A \( -\frac{3}{4} \)
B \( -\frac{9}{4} \)
C \( \frac{3}{4} \)
D \( \frac{1}{2} \)
Solution
Correct Answer: Option B