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4. If x2 +1/X2=27, find the values of each of the following:(0)X**1-​

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341 cents Hariton
Answer:

ANSWER

x−

x

1

We have,

(x−

x

1

)

2

=x

2

−2×x×

x

1

+

x

2

1

⇒(x−

x

1

)

2

=x

2

−2+

x

2

1

⇒(x−

x

1

)

2

=x

2

+

x

2

1

−2

⇒(x−

x

1

)

2

=27−2[∵x

2

+

x

2

1

=27 given]

⇒(x−

x

1

)

2

=25⇒(x−

x

1

)

2

⇒x−

x

1

=±5

[Taking square root of both sides]

110
Hariton
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