Question

xsquared + 1/xsquared=27 find x-1/x

Answer 1

Step-by-step explanation:

x^2 + 1/x^2 = 27

add by 2 on both sides

x^2 +1/x^2 +2 = 29

now we got perfect square

so we can write it as

(x+1/x)^2= 29

x+1/x = √29

Answer 2

x^2 + (1/x)^2 = 27

Balance the equation by adding “-2” on both sides, we get

x^2 + (1/x)^2 - 2 = 27 - 2

x^2 + (1/x)^2 - 2*x*(1/x) = 25

(x - (1/x))^2 = 25

(x - (1/x)) = +/- sqrt(25)

(x - (1/x)) = +/- 5 ——> Answer