Lesson Plan

Solve simple rational equations by multiplying by the LCD (least common denominator) and solving the resulting polynomial equation

Solve simple radical equations by isolating the radical and raising both sides to an appropriate power

Identify and discard extraneous solutions by checking all solutions in the original equation

Explain WHY extraneous solutions arise for both rational equations (multiplying by zero) and radical equations (squaring can introduce new solutions)

Recognize and state the domain restrictions for rational and radical equations (denominators != 0, radicands >= 0 for even roots)

HSA.REI.A.2