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Rajan@2021
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If one zero of the polynomial x²-4x+1 is (2+√3), write the other zeroes.

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This is the basic and conceptual question from polynomials in which we have given a polynomial x²-4x+1 and 2+√3 is one of its zeroes and we have been asked to find the other zeroes of the given polynomial.

Kindly solve the above problem

RS Aggarwal, Class 10, chapter 2C, question no 1

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1 Answer

  1. Given : (2+√3) is one of the polynomial 4x+1
    to find : other zero

    since given polynomial is quadratic so it has only two zeros.

    Let other zero be x.
    Now, Sum of zero =-(coefficient of x)/(coefficient of )

    x+(2+√3)=-(−4)​/1=4

    x+2+√3=4

    or x=2−√3

    hence , the other zero is (2−√3)

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