solve-and-check-each-of-the-equations-xx-221

Question

Solve and check each of the equations.
$x(x-2)+2=1$

M S · Accepted Answer

So you want to solve and check this polynomial this equation. So for someone to distribute this X here so that we can combine like terms to get all numbers on one side So by distribute will have X squared when it&#x27;s two X and then bring on that place too. And I want us to check one from both sides so we&#x27;ll have X squared minus two X plus one goes to track the one from both sides because we need to get that equal zero. We&#x27;re here. So they were gonna factor. Now my factor. And what a separate this middle term here. So anything number cymbals apart. You are one times one when she&#x27;s blind and we need them to add to negative too. Lookie lous. The backers of one that&#x27;s just one and one and because we&#x27;re multiplying neighborhood have to be positive, for they both have to be negative. But in this case, there was need to be negative because we have a negative too sad, too in native one minus one against are making it too. So now we&#x27;re going to explain this X squared minus X minus X. They bring down that plus one and then we get the first to go to second too. Don&#x27;t forget to include that negative there. They&#x27;re never gonna factor out the X. So we have X times X minus one and then here in a factor out of night. Just wine. Well done. Times X minus one. Sit tight, equal to zero. But because we have the same term here in the same term here, we know we&#x27;ll have X minus one, and then we bring down what&#x27;s left. And because these two are the same factor, this is really X minus one. All square people zero So simplified this even more we need to solve for X. It&#x27;s a d. So we&#x27;ll take the spirit of both sides. I don&#x27;t have X minus one equals zero. And if we add one of both sides, we get X equals positive one. But now I need to check to make sure this is the right solution. Someone unpleasant entity. Very original grazing here. So we have one time sporting minus two. Oh, close to instead of equal to one. So have blind times. Negative boy in close to this is being a different place too. And that&#x27;ll give us one. That&#x27;s correct. Therefore, X equals one is a current solution

Amrita Bhasin · Answer

this question asks us to solve the given equation. What we know that the first thing we&#x27;re going to do is we&#x27;re going to get all the exes on the right hand side one over X minus two over access negative one over X, which means our X has to be negative, too.

Bahar Tehranipoor · Answer

and this probably want to solve and check this equation. So let&#x27;s do it. When will that buy this? Two accents. We get two x squared plus two x and subtract 12 over so minus told you. Zero. Dividing both sides by two will get X squared plus X minus six equals zero because you&#x27;re over to is your serum. So now we can factor this so we&#x27;ll have for looking at or negative six year and just the positive X will have minus two X plus three. Because in that way we&#x27;ll get X squared plus three x minus two X, which is positive X and then minus six. Say that evil to zero we get there are answers. X equals two for negative three. Now check this. We just plug it in. So if we plug in to first, we&#x27;re going to get four times three. That is equal 12 and then checking. Negative three look like that and we get negative six times negative to which also equals tolls

K B · Answer

So? So this question. You want to comment, Denominator? So we&#x27;re gonna have to actually remote by this Turn my ass. Almost by this turn my exposed to and then we already have. The denominator extends experts too. So that would make it for here. And then, um, I didn&#x27;t show this, but we&#x27;ve multiplied everything by that denominator. Get rid of it. So now we have this of two acts minus axe minus two. People&#x27;s native four. So here is pretty simple. Now, X equals negative, too. Is gonna be our solution to this question. But before we are, put the senator final answer. Receive it when we plug in. Negative too. We got a denominator. Zero. Here&#x27;s the actual solution. This is that there&#x27;s no solution.

K B · Answer

So in this question, you have that one over. Axe plus X over too, is equal to X plus. For over two weeks, you were gonna multiply everything by two ax. Basically. So we got rid of all these denominators to X here. Over acts will be too. And then you have two X squared over twos. That&#x27;s X square. And then over here we have explosive force. And now we can rewrite this as one simple quadratic equation. So X squared minus acts minus two equals zero or X minus one that we had x X minus, one times X x minus two times X plus one equal zero. So now we&#x27;re ready to, uh, check the solutions that we have. So our solution would be obstacles to a negative one. We want to check these first. So over here we would have a 1/2 so strongly and up to 1/2 lost one equals and then six over four. So we basically have 1.5 equals 1.5. So we not other two works now. We want to check negative ones. We end up the native one minus two equals three over, native to or negative. Three equals negative. 1.5. So now we see that. Sorry. This should be actually negative one. So we&#x27;re gonna put these on. This is native 1/2 So we end up with a native 1.5 equals negative, 1.5. So we now see that both of our solutions do work.

Ethan Somes · Answer

Okay, so here we have the equation. X over X minus one is equal to two over X minus two. So, sulphur ex Im going to first cross multiply, which will give me X Times X minus two is equal to two times X minus one. Okay, so that when I distribute it out, I&#x27;m going toe to my expert with these things and post by to buy both of those things in the currencies. So I get X squared minus two. X is equal to two X minus one. They&#x27;re minus two. Sorry. Um, and I want all my exes on the same side. So I&#x27;m going to subtract two excrement. My right and my left giving me next squared minus. Core X is equal to negative two. Let&#x27;s complete the square here. So to complete the square, we need a new equation in the form a X squared plus B. Thanks plus t equals d. He needs to be once or coefficient here Need to be one. It is and RB terminar see, term are related where c is equal to be over to square. Okay, so here are be term is negative. Four R c term is zero. Okay, so need RC term to be negative for it. Divided by two squared. So that is, um, negative two squared, which is before. So in order to get that see term from 0 to 4, I&#x27;m going to add four to both sides of the equation, leaving us with X squared minus four x plus. Whore is equal to negative. Two plus four gives me positive too. And now this is set up for your perfect squares with X minus two squared is equal to two. And here and take the square root of both sides. Excuse me. Giving me X minus two is equal to plus or minus the square root of two. And the last thing I will add to so X will be able to to plus or minus the square root of two. So here we&#x27;re supposed to check our answer as well. So we got You have to check two answers, actually, um and so our first answer we&#x27;re going to check is going to be thanks being equal to two. Plus the square root of two. Okay, so let&#x27;s try that back in our equation. So when I have that, I&#x27;m going to have two plus the square root of two. I knew this over in this little box, divided by two plus it&#x27;s were to minus one and check that is equal to two over. Too pleasant, scared of to minus two. Okay, so when I simple high this I get to close the square to Is he divided by I can combine these two terms here and so I get to my next one is one plus squared of two. And on the other side, I have two divided by the square root of two because I was able to combine this and this. Okay, so let&#x27;s make sure that works. Let&#x27;s do some cross multiplying. Okay? So when we do that, you will have, um, two plus the square root of two times. The square root of two is equal to two terms, one plus the spirit of to So there we have a spirit of two times two and the skirt of two times. It&#x27;s great to and art to distributing as well on the other side of the equation. So that will leave us with. So to square it up too. Plus two equals two plus two square root of two. That is true. Sore answer. Our first answer here is correct. Now let&#x27;s check our second answer. So X being to minus this great of two. So let&#x27;s plug that into our equations. So tu minus, squared of to divided by two miles is good of to minus one being calls you to over two minus escorted to our X minus two. Okay, so here we sent some terms You can combine. So these terms we can combine and these terms So that means we have two minds. The spirit of two divided by so two minus one is one minus the square root of two and two divided by a negative square root of two. Okay, Now we will cross not to play giving us negative skirt two times two minus a skirt of to equals two times one minus X squared and distribute. So so reading here on the side And here on the other side, which gives us negative two square root of two plus two and to minus two skirt of two. So those are equal again. So both of our answers were correct that these the two values for X

Problem

Solve and check each of the equations. $3 x(x-10…

Problem 16 Hard Difficulty

Solve and check each of the equations.
$x(x-2)+2=1$

Answer

$x=1$

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Ann Xavier Gantert

Algebra 2 and Trigonometry

Grace H.

Catherine R.

Heather Z.

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Absolute Value - Example 1

Absolute Value - Example 2

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$x=1$

Algebra 2 and Trigonometry

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Absolute Value - Example 1

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Ann Xavier GantertAlgebra 2 and Trigonometry

Grace H.

Catherine R.

Heather Z.

Maria G.

Ann Xavier Gantert

Algebra 2 and Trigonometry