Question

If n-(1/n)=x, then what is n^2+(1/n^2) in terms of x?

Answer 1

x^2-2
x^2-1
x^2
x^2+1
x^2+2

Answer 2

Observe what happens when we square \(x\):$$n-\frac1n=x\\(n-1/n)^2=x^2\\x^2=n^2-2n\frac1n+\frac1{n^2}=n^2+\frac1{n^2}-2$$