Question

$x+ \frac1x = 2$ആയാൽ $x^2 + \frac1 {x^2}$ =  __

• A. 2
• B. 4
• C. 1
• D. 6

Answer 1

Answer:

A. 2

$x+ \frac1x = 2$

$[x + \frac1x]^2$=  $x^2+2 \times x \times \frac1x + {\frac1x}^2$ = 4

$x^2+2 + \frac1x^2$ = 4

$x^2 + \frac1 {x^2}$ = 4 - 2 = 2