Question

Q. f(5+x)=f(5-x) for every real x and f(x)=0 has four distinct real roots ,then the sum of roots is: ​

Answer 1

Answer:

The problem doesn't specify that f is a polynomial. The function f defined by

f(x)=0 if x=-5,0,5,10,15 and f(x)=1 otherwise

seems to work. I get 5 distinct zeros, and it can be seen that f(5-x)=f(x+5) for all x (make sure to check my work, of course). And indeed, the zeros add to -5+0+5+10+15=25.

Explanation:

i hope it will help you