C

9000028410

Część: 
C
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 solutions and one of the solutions is a reciprocal value of the second solution.
\(b^{2} - 4ac > 0\text{ and }\frac{c} {a} = 1\)
\(b^{2} - 4ac > 0\text{ and }a = c\)
\(b^{2} - 4ac > 0\text{ and }\frac{c} {a} = -1\)
\(b^{2} - 4ac > 0\text{ and }a = -c\)

9000025807

Część: 
C
Które z poniższych stwierdzeń dotyczących funkcji \(f\) jest prawdziwe? \[ f\colon y = \frac{-2(3x + 1)} {(2x + 3)(2 - x)} \]
\(f(x) > 0 \iff x\in \left (-\frac{3} {2};-\frac{1} {3}\right )\cup (2;\infty )\)
\(f(x) > 0 \iff x\in \left (-\infty ;-\frac{3} {2}\right )\cup \left (-\frac{1} {3};2\right )\)
\(f(x) > 0 \iff x\in \left (-\frac{3} {2};2\right )\)
\(f(x) > 0 \iff x\in \left (-\infty ;-\frac{3} {2}\right )\cup (2;\infty )\)