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Find all values of \(x\) such that \(\frac{x}{x - 5} = \frac{4}{x - 4}\)
 

 Dec 22, 2020
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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

 Dec 22, 2020

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