Can the quadratic formula be used with functions of the form #f(x)=ae^(bx)+ce^((b/2)x)+d#? Why or why not?
Yes - notice that it is a quadratic in the exponential function
The equation is a quadratic in
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.