9000025604 Level: AIn the following list identify an equation which does not have solution in the set of real numbers.\(8x^{2} - x + 1 = 0\)\(8x^{2} + 8x - 1 = 0\)\(8x^{2} - 8x + 1 = 0\)\(8x^{2} - x - 1 = 0\)
9000025606 Level: AIn the following list identify a quadratic equation which has a unique solution.\(x^{2} + 2x + 1 = 0\)\(x^{2} - 3x - 1 = 0\)\(x^{2} + 2x - 1 = 0\)\(x^{2} - 3x + 1 = 0\)
9000025607 Level: AIn the following list identify a quadratic equation which cannot be factorized in \(\mathbb{R}\).\(- 7x^{2} + 3x - 1 = 0\)\(5x^{2} + 2x - 3 = 0\)\(- 3x^{2} + 2x + 3 = 0\)\(6x^{2} + 3x - 1 = 0\)
9000025609 Level: AIn the following list identify an equation such that one of the solutions equals \(- 1\).\(5x^{2} + 2x - 3 = 0\)\(5x^{2} - 2x - 3 = 0\)\(5x^{2} + 2x + 3 = 0\)\(5x^{2} - 2x + 3 = 0\)
9000022809 Level: BFind the solution set of the following quadratic inequality. \[ 4x^{2} + 4x + 1 < 0 \]\(\emptyset \)\(\mathbb{R}\)\(\left \{\frac{1} {2}\right \}\)\(\left \{-\frac{1} {2}\right \}\)
9000022810 Level: BFind the solution set of the following quadratic inequality. \[ -x^{2} + 2x + 3 > 0 \]\((-1;3)\)\((-\infty ;-1)\)\((-\infty ;-1)\cup (3;\infty )\)\((3;\infty )\)
9000022807 Level: BComplete the following statement: Quadratic inequality \[ 2x^{2} - 3x + 4 > x^{2} + 2x - 2 \] is satisfied if and only if\(x\in (-\infty ;2)\cup (3;\infty )\).\(x\in (2;3)\).\(x\in (-\infty ;-2)\cup (-3;\infty )\).\(x\in (-2;-3)\).
9000022808 Level: BFind all the real values of \(x\) which ensure that the following expression is negative. \[ -x^{2} + 4x - 4 \]\(x\in \mathbb{R}\setminus \{2\}\)none \(x\) with this property\(x = 2\)\(x\in \mathbb{R}\)
9000022304 Level: BFind all the values of \(x\) at which the following expression attains nonnegative value. \[ x^{2} + x - 12 \]\(x\in \left (-\infty ;-4\right ] \cup \left [ 3;\infty \right )\)\(x\in \left [ -3;4\right ] \)\(x\in \left [ -4;3\right ] \)\(x\in \left (-\infty ;-4\right )\cup \left (3;\infty \right )\)\(x\in \left (-\infty ;-3\right ] \cup \left [ 4;\infty \right )\)
9000022805 Level: BThe solution set of one of the following inequalities is the interval \([ 3;5] \). Identify this inequality.\(x^{2} - 8x + 15\leq 0\)\(x^{2} + 8x + 15\leq 0\)\(x^{2} - 8x + 15\geq 0\)\(x^{2} + 8x + 15\geq 0\)