What is the solution to the rational equation ? **Medal/fan*

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What is the solution to the rational equation ? **Medal/fan*

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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I got 15/7
Is the first fraction x/(x^2-4)?
no it is x/(x^2-9) @alekos
ok give me a minute to check your answer
ok:)
well done! that's correct
yay! Will you check another?
yep!
Dominique can ice cupcakes twice as fast as Houston. When they work together, Dominique and Houston can ice a large order of cupcakes in 5 hours. How many hours would it take Houston to ice them by himself?
I got 13/2
a. 13/2 b. 1 c. 4 d. 15/2
ok give me a sec
kk
I dont get any of those choices?
i posted them up there hold on.
a. 13/2 b. 1 c. 4 d. 15/2
what i meant was that I dont get any of the choices you posted?
oh! I know, I don't understand either.
could be a typo?
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Solve for x and determine if the solution is extraneous or not.
no, it's a dumb question. Can we do this one instead?
I got 3, non-extraneous
with the previous question I think it should be "how long would it take dominique on his own" Then you would get one of those choices
Ok. So for the previous question, i got 15/2 ?
Yep! thats it let me check the 3rd question
kk
it is 3 but it would be classed as extraneous because if you substitute this in the original fractions you get zero on the bottom line
Oh! Thanks:)
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Last one because I have no idea how to solve this one but I got 1/3x
is that x^2 on the top and x^5 on the bottom?
x^2 on the top and x^3 on the bottom
It goes like this \[\frac{ 1/x ^{2} }{3/x ^{3} } = \frac{ 1 }{ x ^{2} }.\frac{ x ^{3} }{ 3 }\]
can you do the rest?
@alekos I got 1/3x
x^3/3x^2
No. I'll go a bit further.......... \[= \frac{ x ^{3} }{ 3x ^{2}}\]
now what do you get?
x/3x
here are the rules of exponents \[\frac{ x ^{a} }{ x ^{b} } = x ^{a-b}\]
So then I assume it would be 3x
No, the three stays on the bottom line
Then it would just be 3/x
sorry, x/3
yeah thats it
Yay! Thanks so much! <3
No problem. I enjoyed helping you out
you're a good student
Thanks:)

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