# zero position

#### elim

Lef $$\displaystyle f'' > 0$$ on $$\displaystyle [a,b]$$ with $$\displaystyle f(a) < 0 = f(c) < f(b), \quad \int_a^b f(x)dx = 0$$
Show that $$\displaystyle c-a > b-a$$

MHF Helper

#### autumn

Lef $$\displaystyle f'' > 0$$ on $$\displaystyle [a,b]$$ with $$\displaystyle f(a) < 0 = f(c) < f(b), \quad \int_a^b f(x)dx = 0$$
Show that $$\displaystyle c-a > b-a$$
c-a>b-a is just c>b, but b is the right endpoint
So this seems wrong.
maybe c-a>b-c?

#### elim

c-a>b-a is just c>b, but b is the right endpoint
So this seems wrong.
maybe c-a>b-c?
You are right, sorry about the typo