🔍
🏠
Mathematics
🎲
Stack Exchange
Mathematics Stack Exchange
Questions
Tags
Users
About
Mathematics Stack Exchange
Public
Questions
Tags
Users
About
$\alpha$ belong to which group
Asked
Dec 23 '16 at 17:45
Active
Dec 29 '16 at 12:07
Viewed
39 times
0
In the below question
How from the first step they have written that $\alpha$ belong to (-1,0)
cubics
edited Dec 29 '16 at 12:07
Harry Peter
7,819
asked Dec 23 '16 at 17:45
a25bedc5-3d09-41b8-82fb-ea6c353d75ae
1,769
1
Using intermediate value theorem, one form of it states if a continuous function changes sign in an interval then there is a root in that interval in this case (-1,0).
–
Ashar Tafhim
Dec 23 '16 at 17:48
@AsharTafhim how do we know it changes sign
–
a25bedc5-3d09-41b8-82fb-ea6c353d75ae
Dec 23 '16 at 18:09
1
$f(0)=1$ and $f(-1)=b-c<0$ so the function changes sign in this interval.
–
Ashar Tafhim
Dec 23 '16 at 18:10
0 Answers
0