Question

pls solve this....what are the zeroes of x²+x+1?​

Answer 1

Answer:

Step-by-step explanation:

f(x) = $x^{2} + x + 1$

zeros are $\alpha$ and $\beta$

We know that,

Sum of zeroes =  -b/a = -1 = $\alpha +\beta$ ..................(i)

Product of Zeroes = c/a = 1 = $\alpha \beta$ .....................(ii)

now,

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

therefore, from (i) and (ii)

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

Hope you got this.

Thank You