Question

what is wrong with the equation?
x^2+x-6/x-2= x+3

Answer 1

\[\frac{x^2+x-6}{x-2}=\frac{(x+3)(x-2)}{x-2}=x+3\] only if \(x\neq 2\)

Answer 2

if \(x=2\) then \(x+3=2+3=5\) but \(\frac{x^2+x-6}{x-2}\) will be undefined since you cannot divide by 0

Answer 3

makes sense! thanks! tough to learn with a Russian prof ha