Radical equations and inequalities

9000024808

Level:

In the following list identify a true statement referring to the following equation. \[ \sqrt{4x^{2 } - \sqrt{8x + 5}} = 2x + 1 \]

The equation has a unique solution, this solution is a negative number.

The equation has two solutions, both solutions have an opposite sign.

The equation has a unique solution, this solution is a positive number.

The equation does not have a solution.

Level:

Find the solution set of the following inequality. \[ \sqrt{|x|} > x \]

\(K = (-\infty ;0)\cup (0;1)\)

\(K = (-\infty ;1)\)

\(K =\mathbb{R} ^{+}\)

\(K = (0;1)\)