Question

If x = 2 - V6, find the value of x2+1/x2​

Answer 1

Answer:

Step-by-step explanation:

Given that,

x= 2-√6

x²= (2-√6)²

= 4+6-4√6

=10-4√6

And,

1/x²= 1/(2-√6)²

=1/10-4√6

=1/10-4√6 into 10+4√6/10+4√6 (Rationalising the denominator)

=10+4√6/100-96

=10+4√6/4

=5/2+√6

So, x²+1/x²= 10-4√6+5/2+√6

=20+5/2-3√6

=25/2-3√6