Question

If x+(1/x)=13, then the value of x²+( 1/x²)is -
​

Answer 1

Step-by-step explanation:

(x+1/x)^2 = 13^2

using the identity

x^2 + 1/x^2 + 2 x 1/x = 169

x^2+1/x^2 + 2=169

x^2+1/x^2 = 169-2 = 167

Answer 2

Step-by-step explanation:

x+1/x =13

using lcm

x² +1

____ =13

x

x²+ 1 = 13x

x = x²+1

____

13

now we got x value substitute in

${x}^{2} + \frac{1}{ {x}^{2} }$

you get the value