Note:
Problem 2.4c:
Solution:
First make a note of the fact that you cannot take the square root of a negative number. The term is valid only if and the term is valid if . The restricted domain must satisfy both of these constraints. Therefore, the domain is the set of real numbers
Isolate the is already isolated, we square both sides
of the equation.
Isolate the term .
Square both sides of the equation.
The answer is 36.
Check the solution 36 by substituting 36 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.
You can also check the answer by graphing the equation:
The graph represents the right side of the original equation minus the left side of the original equation.. The x-intercept(s) of this graph is(are) the solution(s). Since the only x-intercept is 36, we have verified that the only solution is 36.
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Author:Nancy Marcus