Question

If x² -5x+1 =0 then find the valhr of x+1/x

Answer 1

Answer: x+1/x = 5
Solution:
x+1/x = (x^2+1)/x. —-(1)
x^2-5x+1 = 0
Rearranging the equation we get
x^2+1 = 5x
(x^2+1)/x =5. — LHS is similar to equ (1)

Answer 2

Answer:

${x}^{2} - 5x + 1 = 0 \\ x(x - 5) = - 1 \\ x - 5 = \frac{ - 1}{x} \\ x + \frac{1}{x} = 5$

if you understand this I feel happy