<p>Square root of (x^2 - t^2) = 2t - x</p>
<p>If x and t are positive numbers that satisfy the equation above, what is the value of x/t?</p>
<p>Can someone take me through the thought process</p>
<p>Algebraically manipulate the equation to isolate x/t.</p>
<p>First square both sides, canceling the square root on the left side of the equation and yielding x^2-t^2=(2t-x)^2.</p>
<p>Then multiply out your binomial on the right side of the equation to get x^2-t^2=4t^2-4tx+x^2.</p>
<p>Cancel out the x^2 terms and add t^2 to both sides; 0=5t^2-4tx results.</p>
<p>Add 4tx to both sides for 4tx=5t^2. Dividing both sides by t, get 4x=5t. Divide both sides by 4t: x/t=5/4.</p>
<p>5/4</p>
<p>^That is exactly how I would do it. The answer is 5/4</p>
<p>Is this a SAT math question? Or no?</p>
<p>Well for me. If this is a Grid-in math question then I’m doom!!! D: but if there’s multiple choices then I usually start with the letter C. and if the result is less or greater, then I eliminate the D. and E. OR A. and B. & that leaves me with a 50/50 choice.</p>
<p>Thanks guys that was great help! And yes that’s a practice question from the blue SAT book and it’s a grid in.</p>