Question

if xpower2+1/xpower2=3,find the value of x+1/x.​

Answer 1

Answer:

( x² + 1 ) / x² = 3

x² + 1 = 3x²

-2x² + 1 = 0

-2x² = -1

x² = 1/2

x = 1 /√2

Now, (x+1) /x will be,

(1/√2 + 1) / (1/√2)

(√2/2 + 2/2) / (√2/2)

(√2 + 2)/2 × (2/√2)

√2( 1 + √2)/2 × 2/√2

= 1 +√2