Question

If x^ 2+1/x^2=27find x-1/x

Answer 1

Answer: 5

Step-by-step explanation:

x^ 2+1/x^2=27

To find x-1/x

Apply, (a-b) ^2 = a^2+b^2-2ab

So, (x-1/x)^2 = x^2+1/x^2-2×x×1/x

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

= 27-2

= 25

(x-1/x)^2 =( 5×5) = 5^2

So, x-1/x = 5