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Question

Make the given changes in the indicated examples of  this section and then solve the resulting problems.In Example $6,$ change $x=4$ to $x=12 ;$ approximate $\sqrt{25.06}$.

Uma Kumari · Accepted Answer

That&#x27;s another equation on the route. Well, they express 24 is equal stool. 16 States Square. Both sides were eliminated. Little. We get 12. Its last 24 is equal. Six square into its. It would become We&#x27;ll be exposed. 20 poor as it was 2 36 x Sir Plec, 12 weeks from Woodside. Big it when the four is It was true. Curtis. It&#x27;s X minus commitments muscling this lean in equation Be Gig X is equal to one you take dissolution by substituting existed was to one in the office circulation we get under route two years into one last 24 as equals two. 61 it would become under 36 which is equals toe since into one. We know that on the road 36 is six. But is Equus toxic? So the solution is true, since excessive close to one side is by the original equation, it is a solution Deal for the solution safe is month

Nick Johnson · Answer

So here we have four X is equal to the square root of six X plus one, which doesnt look quadratic right now. But if we go ahead and we square both sides of the equation, well, then which we can do right, then we get well, 16 x square by square. Four X is equal to the square root of six experts. One is just equal to six experts, one so is equal. Choose six X plus one. Okay, then we can go ahead and we can move our terms over to the altar one side of the equation. But she&#x27;s set our equation equal to zero to get 16 x squared and then minus six acts and then minus one is then equal to zero. Okay, so we have a quadratic in standard form, which we can go ahead and solve. Um, by factoring, I believe that&#x27;s trying. Factor this. We try. In fact, to this, you have two factors, right? Could be equal to zero while we have 16 x squared. Um, that&#x27;s gonna be I believe two x times. Eight acts. And then what? Did you have a one hears? That&#x27;s gonna be while one times one at the Antwone Negative six. So, um, I need well, different signs. So the plus study the plus here, right in the minus here, that work, that&#x27;s it to two. X times. Eight X is equal to 16 x squared and then have a two X times. One that&#x27;s two X and then minus eight. X is negative six x and then minus one time. One is negative one. Okay, so we&#x27;re factor here. Two X minus one times X plus one equals zero. So I have two things to factors being much by together equals zero. So at least one of the factors must be equal to zero. If this is true, that means that either either two X minus one is equal to zero or eight. X plus one is equal to zero. But that means that two X is equal toe. One or eight X is equal to negative one, which means well. But I to the X is equal to 1/2 or acts is equal. Two by two by eight x is equal to negative 1/8. All right, you have two solutions here. X is 1/2 or actually is negative. 1/8 But now let&#x27;s go ahead and check to make sure. But it introduced any extraneous solutions by squaring our original equation. So let&#x27;s go ahead and check. X equals 1/2 1st X is 1/2. Then we have Well, we have four X equals the square root of six experts one right there, crazy have four times 1/2 by substituting 1/2 in for X, um is equal to well, the square root of six X plus one. So so six times. 1/2 plus one. Okay, well, that&#x27;s equal. So four times 1/2 is two is equal to 1 601 half is on three to plus one is four. So we have two is equal to the square root of four, Which is true, right? Because what if we&#x27;re is too. So two is equal to two. So this is true. So too, is a solution. Right? Where our solution here or not? Not two, but 1/2 right. 1/2 is a solution because we some student in 1/2 and we got a true statement. Two is equal to two. So are other solution would be accessible to negative 1/8 so remember, our equation now is four x is equal to the square root of six X plus one. Okay, so not substituting in negative. 1/8 while we have four times negative. 1/8 is equal to the square root of six times negative. 1/8 plus one. So four times Native, 1/8. Let&#x27;s native 4/8 which is native 1/2. This is we have negative. 1/2 on the left is equal to what? While the square root of six times negative ah, one is plus one is gonna be Well, what? So this is, um so six times negative. 1/8. That&#x27;s right. Six times negative. 1/8 is six. Um, Well, so it&#x27;s at 6/1 times negative one is right. So this was this considerable. We have true votes in the 63 times and two goes into 84 times. This is native Free force. Okay, you have names before it&#x27;s plus one that&#x27;s native three forests plus one which will one is four force to have need of three force plus four force, which is 1/4. So this simplifies to a positive one. Force was not imaginary, right? It&#x27;s positive if native forests plus one, that&#x27;s that&#x27;s, um that&#x27;s 1/4. So at the square root of 1/4. Okay, well, we have negative. 1/2 is equal to the square root of 1/4 is 1/2. So we have native 1/4 is equal to equal to the square root of 1/4 which is 1/2. So we had the negative 1/2 is equal to 1/2. Well, that is not true. Right? May have won a deficit Does not equal positive 1/2. So therefore right, this is what we got. We plug in negative 1/8 for X. So our solution of native 1/8 works in while in this equation but does not work in our original equation. So it&#x27;s an extraneous solution. So to throw out negative 1/8 native one is does not work. So therefore, our only solution is X equals 1/2. So therefore our solution set our solution set. Is this a set containing just 1/2? So it&#x27;s the set containing 1/2 so All right, take a

Uma Kumari · Answer

be considered equation on the route. Six minus two weeks, I think was doing. Who didn&#x27;t do in the room x minus tree to eliminate the roof squaring. Go outside. We get six minus two weeks as equals toe who will square into X minus tree. You will become six minus two weeks as it was to 16 into X minus tree. Well, I&#x27;m in no position. On the right side, we get six minus two weights as equals two 16 eights minus four Big after two weeks and four days from both sides. Beaded six place Or do you is ik Westell 16 X plus doings I two x and 48 from both sides being get, she explains for Did as he was toe 16 eggs, Mr Weeks. But I live in this linear equation. We get excess. It was 23 Now we take the solution by substituting. Excessive was 23 in the orange Recreation substitute Avenue off eggs in the Islamic nation get under route so X minus two in 23 days equals toe for toe under road three minus treat by solving both sides vegan. This deal is it was 20 so in this situation is true. Since zero satisfy the original equation. It is a solution dear for the solutions a Pez three.

Uma Kumari · Answer

The given equation is a new by makes minus six as he was toe squaring both side for eliminating the home. Be good. Five X minus six is he was too full sense. Underwood A. To the power a is equal is don&#x27;t be to solve for X at six on both sides and we get by Nix is equals. Do four plastics it will become five x is it was today. So whatever your fixed is equals to do, we must take the proposal solution to see red arrowed sectors by the original equation but that never substitute the value of X in the original patient on being get on the route. I even do too minor six because it was too. It will become under look in minus six because he wants to do it would be on the route or is it was to do on the road for And we know that on little Fouras it was true and we know that under Rule four is too it is equals to do Hey, is this relation is true Friends is a mystery to satisfy the original equation. It is the solution. Therefore the solution said is

Shaza Hammoud · Answer

and this question that solve for X first, let&#x27;s add sexto. Both sides in orderto make extra work to in one side on sex and the other side, so it becomes plus six here on plus six. The other side. This would be counseled as Mice Express Tex 60 So it&#x27;s extra power of two equals to zero plus six, which is six. And then, in order to limit the power of toe Ah, the power of the square root for both sides and then the too would be eliminated with the square root on. Then this is his X equals two six is not thus perfect square number. So I&#x27;ll leave it square root off sex. And this is his plus minus. Since always the routes off the square root is three square root number has two routes which has and the positive and the first sign off squared off sex. So this is these are the solutions off X, and you can check if these are correct by substituting each one off them separately in the original equation and check if if they are equal, so the right hand side or not, you will find by serve instituting the values off mines plus squared off sex that both of them are correct on gives the right hand side off zero.

Problem

Find the differential of each of the given functi…

Problem 4 Easy Difficulty

Make the given changes in the indicated examples of this section and then solve the resulting problems.In Example $6,$ change $x=4$ to $x=12 ;$ approximate $\sqrt{25.06}$.

Answer

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Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

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Basic Technical Mathematics with Calculus

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Allyn J. Washington, Richard S. EvansBasic Technical Mathematics with Calculus

Catherine R.

Heather Z.

Kayleah T.

Caleb E.

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus