Question

(x)/(x-4)-(4)/(x-4)=(x^2+16)/(x^2-16)

x = ?

Answer 1

Combine fractions on left side
\[\frac{x-4}{x-4} = \frac{x^{2}+16}{x^{2}-16}\]
Simplify
\[1 = \frac{x^{2}+16}{x^{2}-16}\]
\[x^{2} -16 = x^{2} +16\]
\[-16 = 16\]
This is False, thus x has no solution