Quadratic equations and inequalities

2010004505

Level: 
B
Find all the values of \(x\) at which the following expression attains negative value. \[ 2 x^{2} - 7x - 4 \]
\(x\in \left (-\frac{1}{2};4 \right )\)
\(x\in \left (-\infty ;-\frac{1}{2} \right )\cup \left (4;\infty \right )\)
\(x\in \left( -4;\frac{1}{2}\right) \)
\(x\in \left (-\infty ;-4\right )\cup \left (\frac{1}{2};\infty \right )\)
\(x\in \left( -4;-\frac{1}{2}\right) \)

2010004501

Level: 
B
One of the solutions of the quadratic equation \( x^{2} + 7x +c = 0\) is \(x_{1} = -3\). Find the second solution \(x_{2}\) and the value of the coefficient \(c\).
\(x_{2} = -4\) and \(c = 12\)
\(x_{2} = 4\) and \(c = -12\)
\(x_{2} = -4\) and \(c = -12\)
\(x_{2} = 4\) and \(c = 12\)