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TAS Mathematics QUESTION #5474
Question 1
$\frac{\sqrt{x}}{\sqrt{y}} = \sqrt{w+19}$ relates positive real numbers $w, x, y$. Which equation correctly expresses $w$ in terms of $x$ and $y$?
  • $w = \frac{x}{y} - 19$
  • $w = \frac{28x}{14y} - 19$
  • $w = (\frac{x}{y})^2 - 19$
  • $w = (\frac{2x}{y})^2 - 19$✔️
Correct Answer Explanation
Squaring both sides of $\frac{2x}{y} = \sqrt{w+19}$ gives $w = (\frac{2x}{y})^2 - 19$.