Level:
Project ID:
9000035601
Source Problem:
Accepted:
1
Clonable:
0
Easy:
0
Find the values of the parameter \(p\in \mathbb{R}\)
which guarantee that the following quadratic equation has solutions with nonzero
imaginary part.
\[
px^{2} - 3x + 4p = 0
\]
\(p\in \left (-\infty ;-\frac{3}
{4}\right )\cup \left (\frac{3}
{4};\infty \right )\)
\(p\in\left (-\frac{3}
{4}; \frac{3}
{4}\right )\)
\(p\in\left (\frac{3}
{4};\infty \right )\)
\(p\in\left \{-\frac{3}
{4}; \frac{3}
{4}\right \}\)
\(p\in\mathbb{R}\setminus \left \{-\frac{3}
{4}; \frac{3}
{4}\right \}\)