Mathematics: F(x)=x2-10x+16 how do I solve that

F(x)=x2-10x+16 how do I solve that - id2101611439154, fansofboys

trobbie817

13.02.2022

$\longrightarrow \boxed{\dfrac{ -b}{c}}$

Step-by-step explanation:

Given that , α and ß are the zeroes of the polynomial ,

$\longrightarrow f(x) = ax^2+bx + c$

As , we know that ,

Sum of zeroes = -b/a Product of zeroes = c/a

We need to find out the Value of ,

$\longrightarrow \dfrac{1}{\alpha}+\dfrac{1}{\beta}$

On simplifying ,

$\longrightarrow \dfrac{ \alpha +\beta }{\alpha\beta}$

Substitute ,

$\longrightarrow \dfrac{\frac{-b}{a}}{\frac{c}{a}}$

Cancel " a" in numerator and denominator ,

$\longrightarrow \boxed{\dfrac{ -b}{c}}$

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