Question

If x^2 + 1/x^2=23, find the value of (x-1/x)

Answer 1

Answer:

Step-by-step explanation:

x²+1/x²=23

subtracting 2 both sides

x²+1/x²-2=23-2

x²+1/x²-2*x*1/x=21                         as x*1/x=1

(x-1/x)²=21

x-1/x=√21                          

Answer 2

Answer:

Step-by-step explanation:

x²+1/x²=23

subtracting 2 both sides

x²+1/x²-2=23-2

x²+1/x²-2*x*1/x=21 as x*1/x=1

(x-1/x)²=21

x-1/x=√21