EQUATIONS CONTAINING VARIABLES UNDER ONE OR MORE RADICALS

Note:

• In order to solve for x, you must isolate x.

• In order to isolate x, you must remove it from under the radical.

• If there is just one radical in the equation, isolate the radical.

• Then raise both sides of the equation to a power equal to the index of the radical.

• With these types of equations, sometimes there are extraneous solutions; therefore, you must check your answers.

• If the index of the radical is even, many times there will be a restriction on the values of x.

  Work the following problems. Click on solution, if you want to review the solutions.

Problem 2.3a:

Solution

Problem 2.3b:

Solution

Problem 2.3c:

Solution

Problem 2.3d:

Solution

Problem 2.3e:

Solution

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