Question

If x²+1/x² = 23.
Evaluate
i) x+1/x
ii) x-1/x​

Answer 1

Step-by-step explanation:

x² +1/x² + 2 = 23 +2 ( on adding 2 both side)

(x+1/x)² = 5²

x+ 1/x = +5,-5

x² + 1/ x² -2 = 23-2 ( on subtracting 2 from both sides)

(x -1/x)² = 21

x -1/x = √21