Question

Give three tips/strategies for approaching and or working with radical equations.

Answer 1

When working with radical equations, it is important to identify the unknown, identify the knowns, and choose an equation to solve for the unknown. Examples are provided to illustrate the steps.

Step-by-step explanation:

1. Identify the unknown: Determine what variable or value you are trying to solve for in the equation.
2. Identify the knowns: Take note of any given values or information in the equation.
3. Choose an equation, plug in the knowns, and solve for the unknown: Select an appropriate equation, substitute the known values, and solve for the unknown variable.

Here are some worked examples:

Example :

Given the equation √(x-5) = 3, we can identify the unknown variable as x and the known value as 3.

By squaring both sides of the equation and solving for x, we find that x = 14.