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# If α And β Are the Zeros of the Quadratic Polynomial F(X) = Ax2 + Bx + C, Then Evaluate α - β - 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) = ax2 + bx + c, then evaluate α - β

#### Solution

f(x) = ax2 + bx + c

α + β = (-b/a)

αβ = c/a

since α + β are the roots (or) zeroes of the given polynomials

then

α - β

The two zeroes of the polynomials are

(-b+sqrt(b^2-4ac))/(2a)-((-b-sqrt(b^2-4ac))/(2a))=(-b+(sqrt(b^2-4ac)+b+sqrt(b^2-4ac)))/(2a)=(2sqrt(b^2-4ac))/(2a)=(sqrt(b^2-4ac))/a

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#### APPEARS IN

RD Sharma Solution for 10 Mathematics (2018 to Current)
Chapter 2: Polynomials
Ex. 2.10 | Q: 2.1 | Page no. 35

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Solution If α And β Are the Zeros of the Quadratic Polynomial F(X) = Ax2 + Bx + C, Then Evaluate α - β Concept: Relationship Between Zeroes and Coefficients of a Polynomial.
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