Question

If α, β are zeroes of the polynomial ax² + bx + c, then the value of 1/α + 1/β is..............

A) -b/ac

B) b = ac 

C) -b/c

D) \(-\sqrt{\cfrac{b}{ac}}\)

Answer 1

Correct option is (C) -b/c

Given that \(\alpha\;and\;\beta\) are zeros of polynomial \(ax^2+bx+c.\)

\(\therefore\) \(\alpha+\beta=\frac{-b}a\) and \(\alpha\beta=\frac ca\)

\(\therefore\) \(\frac{\alpha+\beta}{\alpha\beta}=\cfrac{\frac{-b}a}{\frac ca}=\frac{-b}c\)

\(\Rightarrow\) \(\frac{1}{\alpha}+\frac{1}{\beta}\) \(=\frac{-b}c\)

Answer 2

Correct option is C) -b/c