Question

If X square +1 upon X square is equal to 18, find the value of x+1 upon x and X-1 upon x
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Answer 1

Step-by-step explanation:

x^2 + 1/x^2 = 18 - i

A/q, ( x+1/x ) ^2 = x^2 + 1/x^2 +2.x.1/x

( x+1/x ) ^2 = 18 + 2 = 20

( x+1/x ) = √20 = 2√5

( x - 1/x ) ^2 = x^2 + 1/x^2 - 2.x.1/x

( x - 1/x ) ^2 = 18 - 2

( x - 1/x ) = √16 = 4

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