Question

If x+1/x=5/2 find x square +1/x square

Answer 1

Step-by-step explanation:

x + 1/x = 5/2

=> ( x + 1/x )^2 = ( 5/2 )^2

=> x^2 + 1/x^2 + 2 × x × 1/x = 25/4

=> x^2 + 1/x^2 +2 = 25/4

=> x^2 + 1/x^2 = 25/4 - 2

=> x^2 + 1/x^2 = 4.25