B

9000065505

Část: 
B
Určete \(\int (x^{2} + 3)(x^{2} - 1)\, \mathrm{d}x\) na \(\mathbb{R}\).
\(\frac{1} {5}x^{5} + \frac{2} {3}x^{3} - 3x + c,\ c\in\mathbb{R}\)
\((\frac{1} {3}x^{3} + 3x)(\frac{1} {3}x^{3} - x) + c,\ c\in\mathbb{R}\)
\(4x^{2} + c,\ c\in\mathbb{R}\)
\(4x^{3} + 4x + c,\ c\in\mathbb{R}\)

9000064503

Část: 
B
Kvadratická rovnice \(ax^{2} + bx + c = 0\) s komplexními kořeny \(x_{1, 2} =\pm \mathrm{i}\frac{\sqrt{5}} {3} \) má koeficienty:
\(a = 9\text{, }b = 0\text{, }c = 5\)
\(a = 5\text{, }b = 0\text{, }c = 9\)
\(a = 9\text{, }b = 0\text{, }c = -5\)
\(a = 5\text{, }b = 0\text{, }c = -9\)

9000064504

Část: 
B
Kvadratická rovnice \(ax^{2} + bx + c = 0\) s komplexními kořeny \(x_{1, 2} = 1\pm \frac{\mathrm{i}} {2}\) má koeficienty:
\(a = 4\text{, }b = -8\text{, }c = 5\)
\(a = 1\text{, }b = -4\text{, }c = 5\)
\(a = 4\text{, }b = 8\text{, }c = 5\)
\(a = 1\text{, }b = 4\text{, }c = 5\)