Question

if x^2+1/x^2=66 then find x-1/x

Answer 1

x2+1/x2 = 66

Subtract 2 both sides

x2+1/x2-2 = 64

(x-1/x)2 = 64

x-1/x = Square Root Of 64 = 8

I hope it help you....

Answer 2

x²+1/x²=66,

since

(x-1/x)² = x²+1/x² -2,

now

(x-1/x)²=66-2,

(x-1/x)²=64,

then

(x-1/x)=√64,

(x-1/x)=8