Question

if x-1/x=13, find the value of x^2+1/x^2​

Answer 1

Answer :

145

Step-by-step explanation:

(given). x-1/x=13

x-1 =13x

x-13x = 1

-12x=1

x=. -1/12

Now,

x^2+1/x^2 = x^2/x^2 + 1/x^2

= 1 + 1/x^2 ...........(1)

put the value of x in this equation

= 1 + 1/ (-1/12)^2

= 1+ 1/( 1/144)

= 1+ 144

= 145 ans.