Question

if x+1/x=5 then find the value of x^2+1/x^2​

Answer 1

Answer:

x² + 1/x² = 23

Step-by-step explanation:

x + 1/x = 5 to evaluate x² + 1/x²

(x + 1/x)² = 5²

=> x² + 1/x² + 2*x*1/x = 25 [ (a + b)² = a² + b² + 2ab ]

=> x² + 1/x² +2 = 25

therefore x² + 1/x² = 25 - 2

=> x² + 1/x² = 23