00:01
Hi, for the given quality equation, we have given us roots are real and differ by at most a.
00:06
Then b lies in what interval? let's see, we have two roots, alpha and beta.
00:11
So we have alpha and plus beta equals negative 4a over 4.
00:15
That equals negative a.
00:17
Alpa into beta is v over 4.
00:20
Now, roots are real and differ by, so we have alpha negative beta.
00:24
The roots are real and differ by at most a.
00:28
This is given to us.
00:29
So we do square both sides.
00:32
So we get it as alpha negative beta whole square less than equal to a square.
00:36
Or we have alpha plus beta whole square, negative 4 alpha beta.
00:43
This has then equal to a square.
00:44
So alpha plus beta we have negative a.
00:46
So we get a square.
00:48
Negative 4 alpha beta is given as b.
00:51
So we get it as it as it's coming up to be...