# Transposition ?

What are the steps to solve for t?

X = (1-t^2) / (1+t^2)

### 1 Answer

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- husoskiLv 74 weeks agoFavourite answer
Multiply both sides by (1+t²) and simplify:

x(1 + t²) = 1 - t²

xt² + x = 1 - t²

xt² + t² = 1 - x

(x + 1)t² = (1 - x)

t² = (1 - x)/(1 + x)

Take square roots and you're done. You need -1 < x <= 1 for a real solution, since the right side will be negative or undefined outside that interval.

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