# If #f(7+x)=f(7-x), forall x in RR# and #f(x)# has exactly three roots #a,b,c#, what is the value of #a+b+c#?

##### 1 Answer

Oct 22, 2016

#### Explanation:

Suppose

Then, as

We can clearly see that any root of the form

Thus, our three roots are