Note:
Problem2.6c:
Solution:
First make a note of the fact that you cannot take the square root of a negative number. Therefore,
Rewrite the radical terms as exponential terms
Raise both sides of the equation to the power 8 and simplify.
Solve using the quadratic formula.
The answers are 2.804248 (rounded) and 0.445752 (rounded).
Check the solution by substituting 2.804248 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.
Since the solution x=0.445752 is not (the
domain), it cannot be a solution. However, if you forgot this fact,
you can discover the same thing by checking the equation.
Check the solution by substituting 0.445752 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:
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Author:Nancy Marcus