If a and b are zeroes of p(x) = 3x² - 5x - 2 then find 1/a + 1/b
Answers
Answered by
1
Hope this helps you ☺☺☺☺
Attachments:
Answered by
3
The answer is given below :
Given : p(x) = 3x² - 5x - 2
If a and b are the zeroes of this polynomial, then
a + b = - (-5/3)
=> a + b = 5/3 .....(i)
and
ab = -2/5 .....(ii)
Now, dividing (i) by (ii), we get
(a + b)/(ab) = (5/3) / (-2/5)
=> 1/a + 1/b = - 5/2
So, 1/a + 1/b = - 5/2
Thank you for your question.
Given : p(x) = 3x² - 5x - 2
If a and b are the zeroes of this polynomial, then
a + b = - (-5/3)
=> a + b = 5/3 .....(i)
and
ab = -2/5 .....(ii)
Now, dividing (i) by (ii), we get
(a + b)/(ab) = (5/3) / (-2/5)
=> 1/a + 1/b = - 5/2
So, 1/a + 1/b = - 5/2
Thank you for your question.
Similar questions