Answer:
[tex]\longrightarrow \boxed{\dfrac{ -b}{c}}[/tex]
Step-by-step explanation:
Given that , α and ß are the zeroes of the polynomial ,
[tex]\longrightarrow f(x) = ax^2+bx + c [/tex]
As , we know that ,
- Sum of zeroes = -b/a
- Product of zeroes = c/a
We need to find out the Value of ,
[tex]\longrightarrow \dfrac{1}{\alpha}+\dfrac{1}{\beta} [/tex]
On simplifying ,
[tex]\longrightarrow \dfrac{ \alpha +\beta }{\alpha\beta} [/tex]
Substitute ,
[tex]\longrightarrow \dfrac{\frac{-b}{a}}{\frac{c}{a}}[/tex]
Cancel " a" in numerator and denominator ,
[tex]\longrightarrow \boxed{\dfrac{ -b}{c}}[/tex]
