Math 101-06

11-15-2017

* [Quadratic formula]*

In these problems, complex solutions are okay.

1. Use the Quadratic Formula to solve

2. Use the Quadratic Formula to solve

3. Use the Quadratic Formula to solve

4. Use the Quadratic Formula to solve

5. Use the Quadratic Formula to solve

6. For what values of k does the following quadratic have complex roots?

The Quadratic Formula contains the square root expression . If is negative, this will be a complex number.

Hence, the quadratic has complex roots when . For the given quadratic, this happens when

Simplify the inequality and solve:

The quadratic has complex roots for .

*You probably wouldn't worry about what people think of you if you
could know how seldom they do.* - *Olin Miller*

Copyright 2017 by Bruce Ikenaga