Finding roots of an exponential equation

[Akash47]

Homework Statement

Given that f(x)=(3^x).(e^x).(x^2-4) for real x.Find the root of the function.(setting f(x)=0).

Relevant Equations

No equations required.

I know that both 3^x and e^x can't be 0 for real x. Then x^2-4=0 is the only choice and we get x=2,-2. Am I right? Or should I add something?

 

[Delta2]

yes you are right

 

[Akash47]

Thanks