Question

{x:x belong to Q, x²-15=1}​

Answer 1

Answer:

α and β are the roots of x

2

−15x+1=0

∴α+β=15,αβ=1

Now (

α

1

−15)

−2

+(

β

1

−15)

−2

=(−α)

−2

+(−β)

−2

(∵

α

1

=β,

β

1

=α,α+β=15)

=(

−α

1

)

2

+(

−β

1

)

2

=

α

2

1

+

β

2

1

=α

2

+β

2

(∵αβ=1)

=(α+β)

2

−2αβ

=225−2=223

Step-by-step explanation:

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