Question

if x=3+√8,then the value of (x²+1/x²)is options are 1)32 2)34 3)6 4)12​

Answer 1

solution:-

x = 3+ √8

x = (3+√8)(3-√8) / (3-√8)

x = (9 -8) / (3-√8)

x = 1/ (3 -√8)

x = (3 +√8) ......(1)

1/x = (3 - √8) ......(2)

Put the value in equation

( x² + (1/x²) ) = ( x² + (1/x)² )

So x² + 1/ x² = (3 +√8)² + (3 - √8)²

= 9+6√8+8 + 9–6√8+8

= 34

hence.. 2) 34 is Answer.

i hope it helps you...

Answer 2

Answer:

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