0 mehakNewbie Asked: June 14, 20232023-06-14T15:17:50+05:30 2023-06-14T15:17:50+05:30In: CBSE If α and β are the zeros of the quadratic polynomial f(x)=x2 – x – 4, find the value of 1/α+1/β–αβ. 0 explain the formula used. find the value of 1/α+1/β–αβ, when quadratic polynomial is f(x)=x2 – x – 4 class 10th polynomials question of rd Sharma. cbse rd sharma mathematicsclass 10th polynomials Share Facebook 1 Answer Voted Oldest Recent [Deleted User] 2023-09-27T13:57:49+05:30Added an answer on September 27, 2023 at 1:57 pm Solution: From the question, it’s given that: α and β are the roots of the quadratic polynomial f(x) where a = 1, b = -1 and c = – 4 So, we can find Sum of the roots = α+β = -b/a = – (-1)/1 = 1 Product of the roots = αβ = c/a = -4 /1 = – 4 To find, 1/α +1/β – αβ ⇒ [(α +β)/ αβ] – αβ ⇒ [(1)/ (-4)] – (-4) = -1/4 + 4 = 15/ 4 0 Reply Share Share Share on Facebook Share on Twitter Share on LinkedIn Share on WhatsApp Leave an answerLeave an answerCancel reply Featured image Select file Browse Add a Video to describe the problem better. Video type Youtube Vimeo Dailymotion Facebook Choose from here the video type. Video ID Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs". Click on image to update the captcha. Save my name, email, and website in this browser for the next time I comment. Related Questions Find all the zeroes of the polynomial x4 + x3 – 34x2 – 4x + 120, if the ... Obtain all zeroes of the polynomial f(x) = x4 – 3x3 – x2 + 9x – 6, if ...

Solution:From the question, it’s given that:

α and β are the roots of the quadratic polynomial f(x) where a = 1, b = -1 and c = – 4

So, we can find

Sum of the roots = α+β = -b/a = – (-1)/1 = 1

Product of the roots = αβ = c/a = -4 /1 = – 4

To find, 1/α +1/β – αβ

⇒ [(α +β)/ αβ] – αβ

⇒ [(1)/ (-4)] – (-4) = -1/4 + 4 = 15/ 4