CBSE Class 10CBSE
Share
Notifications

View all notifications

If α And β Are the Zeros of the Quadratic Polynomial F(X) = Ax2 + Bx + C, Then Evaluate α - β - CBSE Class 10 - Mathematics

Login
Create free account


      Forgot password?

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`

  Is there an error in this question or solution?

APPEARS IN

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