Question

answer with explanation

Answer 1

Step-by-step explanation:

1. x+1/x=5

x²+1/x²=?

SOBS

(x+1/x)²=5²

x²+2(x)(1/x)+1/x²=25

x²+2+1/x²=25

x²+1/x²=25-2

x²+1/x²= 23

2. x-1/x=2

SOBS

x²-2(x)(1/x)+1/x²=4

x²-2+1/x²=4

x²+1/x²=4+2

x²+1/x²= 6

Answer 2

Step-by-step explanation:

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

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

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

23 answer