Question

f(x)= 13/x-11+ 1/x-9 ?
List all real values of x such that f(x)=0

Answer 1

\[f(x)=\frac{13}{x-11}+\frac{1}{x-9}\]?

Answer 2

if so set
\[\frac{13}{x-11}+\frac{1}{x-9}=0\]
\[13(x-9)+(x-11)=0\]
\[14 x-128 = 0\]
\[x=\frac{128}{14}=\frac{64}{7}\]

Answer 3

Thanks satellite73!!