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Solving square-root equations

Practice some problems before going into the exercise.


In this article, we will solve more square-root equations. They're a little different than the equations you've solved before: they'll require more work for solving, and the problems will be more challenging problems with extraneous solutions.

Practice question 1: Isolating the radical term

Solve the following equation for x.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi

Practice question 2: Two possible solutions

What are the solutions to the following equation?
Choose all answers that apply:

Practice question 3

What are the solutions to the following equation?
Choose all answers that apply:

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