• 0

If α and β are the zeroes of the polynomial f(x)=x²-5x+k such that α-β=1, find the value of k.

  • 0

We have given a quadratic polynomial f(x)=x²-5x+k and α and β are the zeroes of the given polynomial and it is also given that α-β=1 and we have to find the value of k.

This is the important and conceptual question from polynomials as it was already asked in previous year papers

Please give me a detailed solution of this question

RS Aggarwal, Class 10, chapter 2C, question no 21


1 Answer

  1. Given : α and β zeroes of f(x)=5x+k and αβ=1

    we know that ,

    α+β = sum of zeros = -(coefficient of x)/(coefficient of )  =5

    αβ = product of zeroes =(constant term)/(coefficient of ) =k

    Now, solving αβ=1 and α+β=5 we get

    α=3  and β=2

    Now, αβ=k (putting value of α and β)

    • 0
Leave an answer

Leave an answer


Choose from here the video type.

Put Video ID here: Ex: "sdUUx5FdySs".

Captcha Click on image to update the captcha.

Related Questions