If x-1/x=5, then find the value of x2+1/x2 - Maths - Algebraic Expressions and Identities

Question

If x-1/x=5, then find the value of x2+1/x2

S Ramaratnam · Accepted Answer

x - 1/x =5
Let us find the square of both sides
(x - 1/x)2 = 52 = 25
x2 +1/x2 - 2(x * 1/x) = 25
x2 +1/x2 - 2 = 25
x2 +1/x2 = 27

If x-1/x=5, then find the value of x2+1/x2.