Level:
Project ID:
9000028408
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 and one of the solutions is bigger than the other one.
\(b^{2} - 4ac > 0\text{ and }a\not = 0\)
\(b^{2} - 4ac\not = 0\text{ and }a\not = 0\)
\(- \frac{b}
{2a} > \frac{\sqrt{b^{2 } -4ac}}
{2a} \)
\(- \frac{b}
{2a} < \frac{\sqrt{b^{2 } -4ac}}
{2a} \)