Solve for A: √(A²-4) / √(A-3) = 2

Published on September 14, 2024

Solve the equation (√(A^2-4))/(√(A-3)) = 2 for A. The solution involves squaring both sides, simplifying, and using the quadratic formula to find the complex solutions A = 2 + 2i and A = 2 - 2i.

Question

\( \begin{array}{c}\frac{\sqrt{A^{2}-4}}{\sqrt{A-3}}=2 \\ A=?\end{array} \)

Answer