Question

if x-1/x =2 then x²-1/x² = ?​

Answer 1

Answer: 0

Step-by-step explanation: Solution is attached

Answer 2

Answer:

(x-1/x)=2.........................................(1)

(x+1/x)^2=(x-1/x)^2+4

=(2)^2+4

=8

therefore (x+1/x)=root 8

(x+1/x)=2root2.....................(2)

eq(1)+eq(2) we get

2x=2+root2

x=1+root2

again eq(2)-eq(1) we get

1/x=root 2 -1

therefore x^2-(1/x)^2=(1+root 2)^2-(root 2-1)^2

=(1+root 2+root 2-1)(1+root2-root 2+1)

=2root 2×2

(x)^2-(1/x)^2 =4root 2