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Find all exact solutions on [0, 21). (Enter your answers as a comma-separated list.) 2 sin(40) V2...

Question

Find all exact solutions on [0, 21). (Enter your answers as a comma-separated list.) 2 sin(40) V2

Find all exact solutions on [0, 21). (Enter your answers as a comma-separated list.) 2 sin(40) V2



Answers

Find the real solutions, if any, of each equation. $$ 2 x^{2}-13 x+21=0 $$

All right, let's go ahead and solve this equation. So we see that we have two fractions being subtracted from each other. So of course, that means we need to subtract them, but we don't have a common denominator. So what I recommend is doing this To create a common denominator, multiply the first fraction by X plus two on top and bottom, and then for your second fraction, multiply that by X on top and bottom. This is really the fastest way to make sure you have a common denominator. So once we do that, we will end up with X plus two times X minus two on top, with our common denominator on bottom minus X, with our common denominator and all of that will equal zero now from here will be best before we subtract. Are fractions is if we foil distribute. Multiply these to simplify them. So we will end up with X squared minus four over a common denominator. My respects. Common denominator equaling zero. Now we have it. It's simple as we can. So let's subtract the fractions, which will give us X squared minus X minus four over our common denominator equaling zero now best thing to do is to clear up this denominator because dealing with the fraction kind of stinks so we can deal with it by just multiplying by X plus two x on both sides of the equation. Once we do that, we will just end up with X squared minus X minus four equals zero because nothing changes. But now we can do is we can actually go ahead and apply the quadratic formula to this equation because there's gonna be nothing. There's gonna be no factors that we confined that multiply 24 and add to negative one. So here is quadratic formula for reference, and A, B and C. Of course they're going to come from are quadratic equation, so they will be. One is always in front of X squared. B will be negative one because B is in front of X and C will be negative floor because it's just the number that is off by itself. So, using the quadratic formula, we can write X equals opposite be so opposite of negative one just one plus minus negative one squared minus four times, one times negative, four over two times. One cleaning that up. Here is what we have. And whenever we have two negatives like that, that means we need to add the opposite. So we have X equals one plus or minus square root of 17 over to.

No God equal to but so course X equal to one by one by you think formula cause X equal to it is cause bye bye food so x equal to we went by plus minus by by food We know that cause trita equal toe cause helper so treat cycle too We went by plus minus

What's that? I will bring the best one to the right. Therefore, handless, I do express by a Jew Could you minus one? You need to have a psycho German. It's one we required a Jew express by at a Jew. Was ico Ju dreamed by Aunt Ju on? We need your breast, the Jew and by here but and it's in the future and literature decibel for the end, if any, could you zero And then we should get a good too No to buy were eco Joe, You bring the biotic around on the other side they're gonna buy and therefore X ray ico Jew by after two. So that's what first solution. And now for the second case, if an ICO to one and there was again This is a blast and that your express my other Jew and, well, ico too. No, we have a wonderful Have a trip cry out of two plus two pi anywhere Ego ju Ah, seven by out of Jew and therefore that you actually echo Jew. This one was again six at a meeting between by and then doesn't obliged that x equal to three by add up to so And we used the an echo too jewels. And then we should get that Your ex were echoed Thio Express by virtue It will go to the dream by out of Jew blood was the now Aniket Joseph bless afar by therefore we get to go to 11 by at up to their followed your ex week Oh ju five by and doesn't implies that fired by here. And isn't it nice that execute your five by out of true But it's not inside interval from zero to Dubai So isn't we're not gay Consider in June So Russia also we can check for the Aniko Jew minus one now farmers again, huh? Ah Jill Express by out of Jew echoed you if Anika humanists wanted to get a tree by a Jew minus job by then we should get Echo Jew minus Bryant of chew on deaf are wishing Ghenda, your ex eco Geo Amanda's by therefore actually could do manis by other Jew against non inside Interval from the juju bhai. So it isn't implies down We have only your solutions here. So actually you go Jew by Jew and a tree about a Jew. Ah, isn't the, uh by that too? And then a tree by a Jew on Does it

Given sign x equals negative square to to over two, we're going to determine how many degrees that is between 0 360°.. Synnex is in my Y position, so it's going to be the second part, for example, there of that ordered parents. We are going to find that sine of X equals negative square to 2/2 At 225 agrees As well as at 315°.. So sign of x equals negative two over the square to at 225° And 315°..


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