Find all values of \(x\) such that \(\frac{x}{x - 5} = \frac{4}{x - 4}\)
Cross multiply
x (x-4) = 4 (x-5) expand
x^2 - 4x = 4x-20 simplify
x^2 -8x + 20 = 0 Factor or use Quadratic Formula to find roots
x = 4 + 2i and x = 4-2i