# Can the quadratic formula be used with functions of the form #f(x)=ae^(bx)+ce^((b/2)x)+d#? Why or why not?

##### 2 Answers

#### Answer:

Yes - notice that it is a quadratic in the exponential function

#### Explanation:

The equation is a quadratic in

and hence

#### Answer:

Yes

#### Explanation:

If you let

So, the equation becomes

Then, assuming you found two solutions

and similarly for

This means that you might find solutions in

which is not possible to compute using real numbers.