Level:
Project ID:
2010013306
Source Problem:
Accepted:
0
Clonable:
1
Easy:
0
Find the set of all values of the parameter \(p\in \mathbb{R}\) for which the following quadratic equation has solutions with nonzero imaginary part.
\[
9px^{2} + 5x + p = 0
\]
\(\left (-\infty ;-\frac{5}
{6}\right )\cup \left (\frac{5}
{6};\infty \right )\)
\(\left (-\frac{5}
{6}; \frac{5}
{6}\right )\)
\(\left (\frac{5}
{6};\infty \right )\)
\(\left \{-\frac{5}
{6}; \frac{5}
{6}\right \}\)
\(\mathbb{R}\setminus \left \{-\frac{5}
{6}; \frac{5}
{6}\right \}\)