Advertisement

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

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?
Advertisement

APPEARS IN

 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 2: Polynomials
Exercise 2.1 | Q 2.1 | Page 35
Advertisement
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.
Advertisement
Share
Notifications

View all notifications
Login
Create free account


      Forgot password?
View in app×