Answer:
-1
Explanation:
1) if x²+7x+7=0, where 'α' and 'β' are solutions, then
2) α+β= -7 and α*β=7, then
[tex]3) \ \frac{1}{\alpha } +\frac{1}{\beta } =\frac{\alpha + \beta }{\alpha \beta}[/tex]
4) finally,
[tex]\frac{1}{\alpha } +\frac{1}{\beta } =-1.[/tex]