- Algebraic rules for manipulating radical equations.
- Conditions under which a solution is considered extraneous.
Students are able to:
- <Accurately rearrange radical equations to produce a set of values to test against the conditions of the original situation and equation, and determine whether or not the value is a solution.
- Explain with mathematical and reasoning from the context (when appropriate) why a particular solution is or is not extraneous.
Students understand that:
- Values which arise from solving equations may not satisfy the original equation.
- Values which arise from solving the equations may not exist due to considerations in the context.
- Radical Equations
- Extraneous solutions