<p>If x and t are positive numbers that satisfy the equation blow, what is the value of (x/t)?
(square root(x^2-t^2))=2t-x</p>
<p>x^2 - t^2 = 4t^2 - 4tx + x^2</p>
<p>5t^2 = 4tx</p>
<p>x/t = 5/4</p>
<p>I got 4/5, but i may be wrong. I just squared both sides to get rid of the square root and combined like terms until you get 5t^2 = 4tx and then divided by t. Your left with 5t = 4x, therefore x/t is 4/5.</p>
<p>check: x/t = 5/4 so say x = 5, t = 4</p>
<p>sqrt(25 - 16) = 2*4 - 5</p>
<p>sqrt(9) = 3</p>
<p>check</p>
<p>^ yep thats right, i made a careless mistake, it’s 5/4.</p>
<p>Thanks for the help everyone, I appreciate it. :)</p>