For this case we must find the solution of the following quadratic equation:

Where:

Then, the solution is given by:

Substituting the values:

By definition we have:

Thus, we have two complex roots.
Answer:
The equation has no real roots.
A.
2/3A=-24
time both sides by 3/2
A=-72/2
A=-36
B.
20=-B/0.2
times both sides by 0.2
4=-B
times -1
-4=B
distance between 2 points x and y is |x-y|
so
distance between A and B is distance between -4 and -72 or
|-72-(-4)|=|-72+4|=|-68|=68
the distance is 68
The number -6.75 is rational if it is an integer or decimal. -6.75 is a decimal, so -6.75 is rational, not irrational.
ANSWER: rational