Question

x^2+1/x^2=66 find x-1/x​

Answer 1

Answer:

8

Step-by-step explanation:

x^2 +1/x^2=66

adding and subtracting 2 in LHS

x^2+1/x^2-2+2=66

the underlined part is (x-1/x)^2

so (x-1/x)^2=66-2

(x-1/x)^2=64

x-1/x=8