Mr asked in Science & MathematicsMathematics · 4 weeks ago

Transposition ?

What are the steps to solve for t?

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

1 Answer

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  • 4 weeks ago
    Favourite 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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