Math question help

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1

<p>(x^2 - t^2)^1/2 = 2t-x</p>

<p>If x and t are positive that satisfy the equation above, what is the value of x/t?</p>

<p>How do I solve this question the fastest way? Help would be appreciated, the answer is 5/4</p>

<p>Thanks.</p>

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2

<p>Square both sides. Then divide both sides by t^2. Set u = x/t. You then have:
(u^2 - 1) = 4 - 4u + u^2. The u^2 terms cancel out and u = 5/4.</p>

3

<p>Squaring both sides
x^2-t^2= (2t-x)^2
x^2-t^2= 4t^2-4tx+x^2
5t^2=4tx
x/t=5/4</p>