Question

if x^2+1/x^2=7 then find x-1/x​

Answer 1

Answer:

x^2+(1/x^2)=7

x-(1/x)=??

square x-(1/x)

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

substitute

x^2+(1/x^2)=7

7-2=5

(x-[1/x])^2=5

take the square root of both sides

x-(1/x)=√5