if zeroes alpha and beta of a polynomial x²-7x+k are such that alpha -beta =1 then find the value of k
Answers
Answered by
19
Given : alpha - beta = 1
As sum of zeroes, alpha + beta = -b/a
alpha + beta = -(-7)/1
alpha + beta = 7
a+ b = 7
Also, product of zeroes, alpha × beta = c/a
alpha × beta = k
a ×b = k
As, (a+b) ^2 = (a-b) ^2 + 4ab
(7) ^2 = 1 + 4k
49 = 1 + 4k
48 = 4k
12 = k
As sum of zeroes, alpha + beta = -b/a
alpha + beta = -(-7)/1
alpha + beta = 7
a+ b = 7
Also, product of zeroes, alpha × beta = c/a
alpha × beta = k
a ×b = k
As, (a+b) ^2 = (a-b) ^2 + 4ab
(7) ^2 = 1 + 4k
49 = 1 + 4k
48 = 4k
12 = k
Answered by
4
i have clicked a picture of tje ans. if u have any doubt plz ask me .hope this helps u.
Attachments:
Similar questions