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Yeah Whoa Okay I say t mash bumpers and other

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weird equation for you here We got this thing and

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one of racks wanted Teo name exposed to what The

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values of acts in the rational equation above All right

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So rational meaning X is not zero nor negative too

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Right Okay well let's think about this Would it be

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irrational to a skip this rational equation question Probably because

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it's much simpler than it looks Let's start by writing

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every term with a common denominator because fractions loved to

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get closer together So let's think about this We're going

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to multiply out X plus two on both sides of

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this thing and then x over exxon this thing and

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then x over X I guess Yeah on this thing

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So that gives us as the denominator extends quantity X

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plus two and the numerator looks like this So then

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we have What is that X plus two plus Acts

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over X 20 exposed to and and that equals negative

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two acts over this thing and then we can rewrite

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it again as two x plus two over x ten

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twenty flew and then equals negative to activate All right

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so a few operations with fractions and our question becomes

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so much easier to deal with The denominators of these

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two fractions are exactly the same So the numerator Sze

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must equal as well It's a big trick there You

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have to know you crossed this whole bottom thing out

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and it gives you two X plus two equals negative

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to X Well then four Acts If you add 2

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exit both sides and subtract two from their equals native

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to so X is negative to force or negative one

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half Well it's like he's our answer but because this

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is a rational equation we need to check that B

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is not an extraneous solution i e One that does

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not make the denominator equal to zero We're looking at

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the original equation We can see that if Acts were

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equal 2:0 or negative too those would be extraneous Welby

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doesn't cause any problems so well that's our answer You

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got to be careful in these because they'll throw curveballs

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like at you all day long If you divide by

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zero it has to be undefined If it's not well 00:01:58.49 --> [endTime] it's probably wrong

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