Write y=t+6/t and x=6/(t)(1/2) in rectangular form?

1 Answer
Aug 14, 2018

y = x^2 + 6/x^2

Explanation:

I will assume this is intended to say
y = t + 6/t and x = (6/t)^(1/2)

We can solve for t in the second equation and then plug that into the first to find a solution:
x^2 = 6/t implies t = 6x^(-2)
Therefore,
y = 6x^(-2) + 6/(6 x^(-2)) = 6/x^2 + x^2

which is in rectangular form.