Question

Plzzzz solve it plzzz

Answer 1

A + B= -b/a = -x/6

let α = A and β = B

A B= c/a = -2/6 = -1/3

 

A /B + B/ A = A +B/A B =  (x/6) / -1/3

                                       = x/2                            

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Answer 2

Let alpha be x and beta be y (because I don't hv those signs in my key board)
X+y=-b/a=-1/6
Xy=c/a=-2/6

Now,
1)x/y+y/x=(x^2+y^2)/xy
X^2+y^2=(x+y)^2-2xy(using identity)

=(-1/6)^2-2*-2/6=1/36+4/6=25/36.... (i)
Xy=-2/6
Therefore, x/y+y/x=(25/36)/(-2/6)
=-25/12
Similarly u hv to do the rest.
Now.
,
2) x4+y4=(x2) 2+(y2)2
=(x2+y2)2-2*x2y2 (using identity)
(From (i) we get value of x2+y2)
Therefore
=(25/36)2-(-2/6)2 [since, x2y2=(xy) 2]
=625/1296+-2(-2/6)2
=(625-288)/1296
=337/1296

3) X2y+xy2=xy(x2+y2)
=-2/6*-1/6=-1/18

4) 1/x+1/y=(y+x)/xy=(x+y)/xy=(-1/6)/-2/6=-1/6*-6/2=1/2

Calculation mistakes may be there but the process is this.
Hope this help. Mark as brainliest if it's good.
And do this with alpha beta signs instead of x and y