Question

ii)If x 2 +1/x 2 = 23, then find x

Answer 1

Step-by-step explanation:

But, x^2+1/x^2 = 23 and hence, (x + 1/x)^2 = 23 + 2 = 25. Thus, x + 1/x = sqrt (25) = +/- 5.

Answer 2

Answer:

x2+1x2=23

(x+1x)2=x2+1x2+2

=23+2=25

x+1x=±5(1)

(x−1x)2=x2+1x2−2=23−2=21

x−1x=±21−−√(2)

(1)+(2)⟹

(x+1x)+(x−1x)=±(5+21−−√)

x=±(5+21−−√)2(3