Level:
Project ID:
9000028403
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 two real
solutions \(x_{1}\neq x_{2}\),
\(x_{1} > 0\),
\(x_{2} > 0\).
\(b^{2} - 4ac > 0\text{ and }\frac{c}
{a} > 0\text{ and }\frac{b}
{a} < 0\)
\(a\not = 0\text{ and }c > 0\)
\(a > 0\text{ and }b < 0\text{ and }c > 0\text{ and }b^{2} - 4ac > 0\)
\(a\not = 0\text{ and }c > 0\text{ and }b^{2} - 4ac > 0\)