If α and Beta are the zeroes of the polynomial 2x − 5x + k and α − Beta = −1. Find the value of k.
Attachments:
Answers
Answered by
1
this is required solution
Attachments:
shubhamtiwari31:
wrong
Answered by
0
x2-5x+k
Here, a=1, b=-5 and c=k
Now, alpha+beta= -b/a= -(-5)/1= 5
alpha*beta= c/a= k/1= k
Now, apha-beta=1
Squaring both sides, we get,
(alpha-beta)2=12
=> (alpha+beta)2-4*aplha*beta=1
=> (5)2-4k=1
=> -4k= 1-25
=> -4k= -24
=> k=6
So the value of k is 6.
Hope it helps!!
Cheers!
Here, a=1, b=-5 and c=k
Now, alpha+beta= -b/a= -(-5)/1= 5
alpha*beta= c/a= k/1= k
Now, apha-beta=1
Squaring both sides, we get,
(alpha-beta)2=12
=> (alpha+beta)2-4*aplha*beta=1
=> (5)2-4k=1
=> -4k= 1-25
=> -4k= -24
=> k=6
So the value of k is 6.
Hope it helps!!
Cheers!
Similar questions