<h2>
Explanation:</h2>
The rational expression is given by:

The denominator can't be zero, therefore:

Finally,<em> the values of x that make the rational expression undefined are </em>
<em></em>
<em>x = 7 and x = -7</em>
For this case we have the following quadratic equation:

Where:

By definition, the discriminant of a quadratic equation is given by:

We have to:
Two different real roots
Two different complex roots
Two equal real roots
Substituting the values we have:

So, we have two different complex roots
Answer:
Two different complex roots
Four $5 bills and two $1 bills
In total it’s six bills
5(4)=20 and 1(2)=2
20+2=22
Possible procedures:
1). peanut, peanut
2). peanut, cashew
3). peanut, pecan
4). cashew, peanut
5). cashew, cashew
6). cashew, pecan
7). pecan, peanut
8). pecan, cashew
9). pecan, pecan.
Nine (9) possible procedures.
But ...
(2) and (4) produce the same final result.
(3) and (7) produce the same final result.
(6) and (8) produce the same final result.
So there are only <em><u>six (6)</u></em> possible different outcomes.