Question

For what value of x is the rational expression below equal to zero?
x-4/x-6

Answer 1

\(\large \begin{align} \color{black}{
\normalsize \text{the expression is undefined when it is infinity} \hspace{.33em}\\~\\
\dfrac{2x+4}{x-7}=\infty \hspace{.33em}\\~\\
\dfrac{2x+4}{x-7}=\dfrac{1}{0} \hspace{.33em}\\~\\
\dfrac{x-7}{2x+4}=\dfrac{0}{1} \hspace{.33em}\\~\\
x-7=0 \hspace{.33em}\\~\\
\Large \fbox{x=7} \hspace{.33em}\\~\\
}\end{align}\)

Answer 2

@mathmath313, I don't understand your answer. For what value is the rational expression equal to zero?
Why make it equal to infinity?
Why then make it to division by zero, which of course is undefined.
and finally invert this.
Surely the question being asked is: 2x +4/x-7 = 0 ?

Answer 3

wait he changed the question lol it was different earlier

Answer 4

brittany if u want to ask another question , u can close this question and ask in a new post ,thanks

Answer 5

you're fine @mathmath333

Answer 6

yea I know don't have time to

Answer 7

ok lol

Answer 8

firstly the question is x-4/x-6 not 2x+4/ x-7

Answer 9

we all make mistakes! and this should not reflect on @mathmath333's ability.

Answer 10

lol i didnt made any mistake

Answer 11

sorry, I thought the question asked was x-4/x-6?

Answer 12

He didn't make a mistake I just refused to close the question so I changed it because I'm on a time limit

Answer 13

didnt know that!

Answer 14

can someone help me please with the new question

Answer 15

yes of course, both me and @mathmath333 can help you

Answer 16

Thank You

Answer 17

did u solved this (x-4/x-6)

Answer 18

\(\large \begin{align} \color{black}{

\dfrac{x-4}{x-6}=0 \hspace{.33em}\\~\\
x-4=0 \hspace{.33em}\\~\\
x=4 \hspace{.33em}\\~\\
}\end{align}\)