# Solutions to Problem Set 29

Math 101-06

11-20-2017

1. Solve the equation for x. Complex numbers are allowed.

Don't multiply out!

Let . Then

The solutions are and .

2. Solve the equation for x. Complex numbers are allowed.

Since , the equation can be written this way:

Let . Then

The solutions are and .

3. Solve the equation for x. Complex numbers are allowed.

Since , the equation can be written this way:

Let . Then

The solutions are and .

4. Solve the equation for x. Complex numbers are allowed.

Since , the equation can be written this way:

Let . Then

The solutions are and .

5. Solve the equation for x. Complex numbers are allowed.

Since , the equation can be written this way:

Let . Then

has no solutions, because can't be negative.

gives

The solution is .

6. Solve the equation for x. Complex numbers are allowed.

Let . Then

The solutions are and .

One hears only those questions for which one is able to find answers. - Friedrich Nietzsche

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