Answer:
Step-by-step explanation:
As seen from the first given equation: x + 1/x = 2
If we think of x as x/1 instead then we get:
x/1 + 1/x = 2.
To combine the fractions we multiply the top and bottom of the first one (x/1) by x to get x^2/x so both have the same denominator so we can combine them which gives us:
(x^2+1)/x=2
Move x to the other side and we get:
x^2+1=2x
Move it back and we get a quadratic equation of
x^2 - 2x + 1
This factors into (x-1)(x-1) meaning x=1
For all the other equations they are equal because x=1.
1 to the power of anything is still one so each of the equations below will result in: 1+1/1 which is 2.
Therefore all of them are equal.
Hope this helped!
