EQUATIONS CONTAINING VARIABLES UNDER ONE OR MORE RADICALS
Note::
Example 3:
Since the index of the radical is odd, there is no restriction on the values
of x.
is isolated.
x-7=125
x=132
The answer is x=132.
Check the solution by substituting 132 in the original equation
for x. If the left side of the equation equals the right side of the equation
after the substitution, you have found the correct answer.
Left side:
Right side: You can also check the answer by graphing
(the left side of the original equation minus the right side of the original
equation). The solution will be the x-intercept. The x-intercept (and
hence the solution) on the graph is 5.
If you would like to work another example, click here.
If you would like to test yourself by working some problems similar to this example, click here.
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Author: Nancy Marcus