Question

X^2+1/x^2=23 evaluate

1. x+1/x

2.x-1/x
pls explain
fast

Answer 1

Answer:

Step-by-step explanation:

x² + 1/x² = 23

1.

(x+1/x)² = x² + 1/x² + 2*x*1/x = 23 + 2  (∵(a+b)² = a² + b² + 2ab)

(x + 1/x) = √25 = ±5.

2.

(x-1/x)² = x² + 1/x² - 2*x*1/x = 23 - 2 (∵(a-b)² = a² + b² - 2ab)

(x - 1/x) = ±√21

Answer 2

Answer:

x+1/x=5 , x-1/x=√21

Step-by-step explanation:

formula used---->

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1. (a+b)^2=a^2+b2+2ab

2. (a-b) ^2=a^2+b^2-2ab