A function is such that has distinct real roots and for

MATHEMATICS · Numerical · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

A function

f(x)

is such that

f(x)=0

has

8

distinct real roots and

f(x)=f(6-x)

for

x\in\mathbb{R}

. The sum of the real roots of

f(x)=0