Question

If x = 3+√8 find the value of xsq + 1/xsq

Answer 1

Answer:

34

Explanation:

x = 3+√8----(1)

1/x = 1/(3+√8)

= (3-√8)/[(3+√8)(3-√8)]

= (3-√8)/[3²-(√8)²]

= (3-√8)/(9-8)

= 3-√8 ---(2)

Now ,

x + 1/x = 3+√8+3-√8

= 6----(3)

x²+1/x² = (x+1/x)² -2

= 6² -2

= 36 - 2

= 34

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