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1. (2) Determine il 5 = {<o4>€ R'I + : =0.v is Any numlxr} is A sulslwcr oR' Justily vour AismtT...

Question

1. (2) Determine il 5 = {<o4>€ R'I + : =0.v is Any numlxr} is A sulslwcr oR' Justily vour AismtT

1. (2) Determine il 5 = {<o4>€ R'I + : =0.v is Any numlxr} is A sulslwcr oR' Justily vour AismtT



Answers

Fill in the blanks. Perform a check to determine whether $-2$ is a solution of $5^{2 x+3}=\frac{1}{5}$

Okay. So for this equation, we first wait, defined and operated B as the curative with respect to be so we can rewrite this the stuff of the into something like this. So just rewrite the system for these in this operator notation. Okay, so, um, for now, because I want to use the elimination. Um, so I legal this by question one in the label, The 2nd 1 by question two. Okay, so we're going to pullets and another operator two D pass one two equation one. So we have the first equation will be to t plus one times D plus one, you minus toothy Pass one terms three plus one me because to to the pass one acting on you to the key. So to the process, acting only to be cured with three times eternity. Now, for your question to we use an operator. The pass one acting with you. So we have you pass one times three minus one in the Are you husky past one comes to E pass one v equals to this operator acting on five. So the acting on five p zero because five is the constant. So you know we have five left. Now we can see that to the second term on the sin with different sign in front of it. The muse If I label this by equation three Naval base by question for not three pass for gives us, um, the fooling results The square pastie acting u equals two e treaty plus 5 30 So this is a novel, Virginia. So the, um off you So the correct arrested, um, equation will be ask where Plus, are you close to zero? He has two solutions. So are one in coastal minus one are two recourses Zero. That means the homogeneous general solution for you will be C one e to the minus t plus e to eso here of meat um, e to the zero because it is very close to No, since it's a normal Virginia's are off the we need to consider some particular solution for the right hand side, the right hand side contents and eat with the key. So the corresponding term will be a time CTO key. And who will decide eight after now for the second term is it's ah constant. So we should put a linear function here. Sorry, you should be Ah, eat Hemsky. So he will be decided later. Now I plug in this particular solution used to pee into this of the so is the square plus big acting on your P because to Italy T class 5 30 So live inside since we know your p closed toe eight anti to DT prosperity. So the left inside will be Hey time see to get key plus a time seem to the key for us So let and savvy cost the right hand side Compare the conditions year we have a close to what half and the P equals 2543 So India that we have a general solution for you will be the homogeneous part press the particularly part No. Clear down with the U, But, um, in this system for off all these we have another function we toe figure out. So we have a lot of different choices to figure out the we can just proud you. The results you into either equation wandering question to and the do this Oh, the so far again. But this another solution to this This is a method. So locating the equation one Why I'm going to do is I'm going to rewrite this suit out system for the by. Multiply two for two equation one. So we have twice off E class one acting U plus minus to the minus to me because to thyself be pretty. I just multiply to to both sides and we keep it a second. The equation change, not you fight and the envious to equation up. We can see that since this two operator on a sam with different slide so they can Selves and the way are left with ah minus B so minus V. Because to two attacks to the T plus five, subtract the some off this that will be minus two depressed too acting on you in the minus G minus. So on acting on you so v close to minus two times E to the T minus five plus, um three d acting on you and the class you. Now we are ready to plugging you into this result and that we can directly off 10 V without Soviet me. Oh, these So in the end, the equals two minus two times. See one Italy minus T process See to pass 5/3 key. Just plugging this result into this equation so immediately gets be here

In the problem, since universe offer to cross dramatics is given by the formula No. In the problem, we have is this So a universe is written as one upon five minus four into this is one, five, two and two, so this is our inverse. Further this equals one upon 1, 12 two five oh. This is equal to one, which is equal to be. Therefore, we can say universe equals B. This is the answer.

Whereas to determine if this is a mono meal, binomial or try no meal and so we only have one sort of term going on here with the coefficient and exponents, So this is a Manno meal.

You can do that given questions, he must not record to zero and healthy. Um, it's 1/4 to 10 normal to play with 10 people size. So then be in one bite, plus 10 p in one by booty. People don't 10 Bean into one way fight E and P cancel t and D cancel our 25 10 and five We got them. So this is then bless five Quito. Now, if you saw 10 plus five, which is called a 15 quarto two times. If you divide by two board site, so be equaled. A few clean by So according to the course. And he must not record Jiro. But this is equal to cooking way toe the answer.


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