Math, asked by meghameghs, 4 months ago


alpha/bita^2+bita/alpha^2​

Answers

Answered by vansh776193
3

Step-by-step explanation:

α

2

,−β

2

are the roots of a

2

x

2

+x+1−a

2

=0

⇒α

2

−β

2

=−

a

2

1

,

And

⇒α

2

(−β

2

)=

a

2

1−a

2

2

2

)

2

=(α

2

−β

2

)

2

+4α

2

β

2

=

a

4

1

+4(

a

2

a

2

−1

)=

a

4

1

+4−

a

2

4

=(2−

a

2

1

)

2

⇒α

2

2

=2−

a

2

1

β

2

=

2

1

[(α

2

2

)−(α

2

−β

2

)]

=

2

1

[2−

a

2

1

+

a

2

1

]=1

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