Level:
Project ID:
9000028407
Accepted:
1
Clonable:
0
Easy:
0
Find the condition which is equivalent to the fact that the equation
\(ax^{2} + bx + c = 0\) with
\(x\in \mathbb{R}\) and real
coefficients \(a\),
\(b\),
\(c\) has a
unique positive and a unique negative real solution.
\(b^{2} - 4ac > 0\text{ and }\frac{c}
{a} < 0\)
\(b^{2} - 4ac > 0\text{ and } - \frac{b}
{2a} < 0\)
\(\left (\frac{c}
{a} < 0\right )\text{ and }\left (\frac{b}
{a} > 0\right )\)
\(\left (\frac{c}
{a} < 0\right )\text{ and }\left (\frac{b}
{a} < 0\right )\)