Kruparajeshsp2020
Answered

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alpha and beta are zeros of polynomial X square + 7 x + 7 then find the value of Alpha ^ - 1 + beta ^ - 1​

Sagot :

evgeniylevi

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]

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