SOLUTION: Can you show me step by step how when solving for t in this equation x^2 = 1/t+1 is equal to t = 1-x^2/x^2 ? Thank you.

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Question 16456: Can you show me step by step how when solving for t in this equation x^2 = 1/t+1 is equal to t = 1-x^2/x^2 ?
Thank you.
Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
You do need to be careful when you write: t = 1 - x^2/x^2 when you really mean: t = (1 - x^2)/x^2. But here's how you would do it.
x%5E2+=+1%2F%28t%2B1%29 Multiply both sides by (t+1)
%28t%2B1%29x%5E2+=+1 Divide both sides by x^2
t%2B1+=+1%2Fx%5E2 Subtract 1 from both sides.
t+=+%281%2Fx%5E2%29+-+1 Simplify.
t+=+%281+-+x%5E2%29%2Fx%5E2