Radical Equations and Inequalities

9000023710

Level: 
A
Identify a true statement which concerns the following pair of equations. \[ \begin{aligned} \sqrt{ 2x + 17} & = 3 &\text{(1)} \\ \sqrt{8 - 4x} & = 4 &\text{(2)} \end{aligned} \]
The product of the solutions of (1) and (2) is \(8\).
The sum of the solutions of (1) and (2) is \(- 2\).
The quotient of the solution of (1) divided by the solution of (2) is \(- 2\).
The quotient of the solution of (2) divided by the solution of (1) is \(- 0.5\).

9000023803

Level: 
A
In the following list identify a true statement referring to the solution of the following equation. \[ \sqrt{x + 3} = 3 + x \]
The difference of the bigger and smaller solutions is \(1\).
The difference of the bigger and smaller solutions is \(- 1\).
The difference of the smaller and the bigger solutions is \(1\).
The difference of the smaller and twice the bigger solutions is \(- 1\).