Jamierox4ev3r
  • Jamierox4ev3r
Even more math review! 8b. Solve the equation. (Find only the real solutions)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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.
chestercat
  • chestercat
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Jamierox4ev3r
  • Jamierox4ev3r
Posting equation in a few seconds...
Jamierox4ev3r
  • Jamierox4ev3r
\(\huge\frac{2x}{x+1} = \huge\frac{2x-1}{x}\)
Nnesha
  • Nnesha
any idea how to start ?

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Jamierox4ev3r
  • Jamierox4ev3r
hmm... let's see. I assume you would multiply both sides by the conjugate?
dinamix
  • dinamix
x=1
Jamierox4ev3r
  • Jamierox4ev3r
@dinamix no direct answers please. Thank you
dinamix
  • dinamix
ok, sorry
Nnesha
  • Nnesha
hmm `cross multiply` \[\huge\rm \frac{ a }{ b}=\frac{ c }{ d } \]\[\huge\rm ad =bc\]
nincompoop
  • nincompoop
what happens when you do that, Jamie? There are maybe different way to approach, but let us see what will happen
nincompoop
  • nincompoop
but if we made it our goal so that we do not have to deal with denominators since they do not look the same, then cross multiplication would be an easier route
Jamierox4ev3r
  • Jamierox4ev3r
oh right. Cross multiplying is a thing. And I tried multiplying by a conjugate, but that actually seems to get kind of messy.
Jamierox4ev3r
  • Jamierox4ev3r
yep the denominators are definitely not the same
Nnesha
  • Nnesha
when you see `equal` sign between two fractions then u should `cross multiply`
Jamierox4ev3r
  • Jamierox4ev3r
If you cross multiply, it seems as if you get \(2x^{2} = 2x^{2}+x-1\) And thank you @Nnesha , seems like a good rule of thumb
nincompoop
  • nincompoop
now you can equate to zero and solve for x
nincompoop
  • nincompoop
I do not understand cross-multiplication. It is not a true mathematical procedure.
Jamierox4ev3r
  • Jamierox4ev3r
o-o in that case, wouldn't x be 1.
Jamierox4ev3r
  • Jamierox4ev3r
*?
Nnesha
  • Nnesha
yes
Nnesha
  • Nnesha
you can substitute x for 1 to check ur answer
Jamierox4ev3r
  • Jamierox4ev3r
a'ight then. When substituted, things look kosher (equivalent) so looks like I'm fine. But question. @nincompoop how do you know that you can squat \(2x^{2}\) to zero?
nincompoop
  • nincompoop
the equation will be set to zero by moving all of your expressions on one side and zero on the other side
dinamix
  • dinamix
x= 1 its easy why thiss???
Jamierox4ev3r
  • Jamierox4ev3r
@dinamix I know it seems simple to just give an answer. Sadly, this does not help the user learn. So I prefer a process to be explained so I will have a strong understanding of how to do problems that are similar in the future and @nincompoop thank you ;-;
nincompoop
  • nincompoop
cross multiplication is not a true mathematical procedure tho, but it helps
Jamierox4ev3r
  • Jamierox4ev3r
it sure does. thanks, both of you
nincompoop
  • nincompoop
in cross-multiplication, we skip fundamental algebraic steps because they are supposedly understood for someone who is been doing it over and over. I can show you ALL the steps which lead to the idea of "cross-multiplication"
Jamierox4ev3r
  • Jamierox4ev3r
If you have the time to explain, feel free. I never did understand the true mathematical processes behind cross multiplication. In my freshman algebra days, we were simply told to do it because it would give us right answers.
nincompoop
  • nincompoop
it is a good way to do the review since you are about to do calculus soon, which require rigorous algebraic acrobat knowledge.
Jamierox4ev3r
  • Jamierox4ev3r
indeed. and I am quite aware. I've decided to focus on algebra the most for my review, since trig, conics, and other pre-calculus things are still fresh in my mind.
dinamix
  • dinamix
@Jamierox4ev3rok , @nincompoop forgive me i f i was rude
dinamix
  • dinamix
sorry anway
nincompoop
  • nincompoop
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Jamierox4ev3r
  • Jamierox4ev3r
I'll be back later, I have a class that I should probably get going to in a bit. Thank you so much in advance though @nincompoop
nincompoop
  • nincompoop
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