How do you solve #e^(2x)+9e^x+36=0#?
1 Answer
No Real solution exists.
Complex solutions do exist (but I don't think that's covered in the PreCalc courses)
Explanation:
Given that the equation is
Now at a quick glance, you'd think this is a quadratic equation and try to solve it as thus. But before you do so, take a step back and look at how the equation is. It's not just any ordinary quadratic equation, based on
Now, notice that all the values are added up and the equation says that they add up to zero. Let's check out all the values that are in the equation.
But, the other terms are power function, and for any value of
If OP wanted the complex answers, do ask in the comments.