Question

If alpha beta are
the zeroes polynomial
x2 + 2x +1

then find
1/alpha + 1/ beta
​

Answer 1

Step-by-step explanation:

Given, quadratic equation is x^2+2x+1=0

$\alpha + \beta = - \frac{b}{a} = - \frac{2}{1} = - 2$

$\alpha \times \beta = \frac{c}{a} = \frac{1}{1} = 1$

$\frac{1}{ \alpha } + \frac{1}{ \beta }$

$= \frac{ \beta + \alpha }{ \alpha \beta }$

$= \frac{ \alpha + \beta }{ \alpha \beta }$

$= \frac{ - 2}{1}$

$= - 2$