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# If α And β Are the Zeros of the Quadratic Polynomial F(X) = 6x2 + X − 2, Find the Value of Alpha/Beta+Beta/Alpha - CBSE Class 10 - Mathematics

ConceptRelationship Between Zeroes and Coefficients of a Polynomial

#### Question

If α and β are the zeros of the quadratic polynomial f(x) = 6x2 + x − 2, find the value of alpha/beta+beta/alpha

#### Solution

f(x) = 6𝑥2 − 𝑥 − 2

Since α and β are the zeroes of the given polynomial

∴ Sum of zeroes [α + β] =(-1)/6

Product of zeroes (alphabeta)=(-1)/3

=alpha/beta+beta/alpha=(alpha^2+beta^2)/(alphabeta)=((alpha+beta)^2-2alphabeta)/(alphabeta)

=((1/6)^2-2xx((-1)/3))/(-1/3)

=(1/6-2/3)/(-1/3)

=((1+24)/36)/(-1/3)

=(25/36)/(-1/3)

=-25/12

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Solution for 10 Mathematics (2018 to Current)
Chapter 2: Polynomials
Ex. 21.00 | Q: 3 | Page no. 34

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Solution If α And β Are the Zeros of the Quadratic Polynomial F(X) = 6x2 + X − 2, Find the Value of Alpha/Beta+Beta/Alpha Concept: Relationship Between Zeroes and Coefficients of a Polynomial.
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