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Worksheet: Solving Radical Equations with a Variable on Each Side

Q1:

Consider the following argument for solving :

  1. .

What mistake was made?

  • Anot checking for extraneous solutions
  • Bsquaring does not give 9

Q2:

In order to solve the equation , Michael started with

What solutions did Michael find?

Q3:

The natural way to solve introduces an extraneous solution. What is that extraneous solution?

  • A
  • B
  • C
  • D
  • E

Q4:

For what value of is introduced as an extraneous solution to the equation when it is solved in the natural way?