If , where , show that the equation has at least one root between and…

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

2a+3b+6c=0

, where

a,b,c\in\mathbb{R}

, show that the equation

ax^2+bx+c=0

has at least one root between

0

and

1