Question

$\alpha \: and \: \beta \: are \: the \: roots \: of \: the \: equation$
$x ^{2} - 7x + 1 = 0$

$then \: obtain \: the \: equation \: whose \: roots \: are \: \alpha ^{5} + { \beta }^{5}$


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Answer 1

Answer:

To find -Alpha^5+Beta^5

Step-by-step explanation:

x ^2 - 7x + 1 = 0

a=1,b=-7,c=1

Alpha =-b/a

=>-(-7)/1

=>7_______________(i)

Beta = c/a

=>1/1

=>1_______________(ii)

From (i) and (ii)

Alpha^5+Beta^5

=>7^5+1^5

=>16807+1

=>16808

Hope this will help you

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