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FTS 2.7 Review Notes

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FTS 2.7 Review Notes

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all right here we go this is the screencast notes for is my pen working there it is 80s were going to continue on with a rabbit solving radical equations lesson from this week they're going to be times where I'm going to ask you guys you go ahead and pause and work on the problem on your own and then you can unpause impress play us in there after in order to uncheck a work again at the end of this as screencaps and why you should be working on okay that should help you out with your homework assignment this week okay go ahead and get started we're trying to solve write up equations that have a square root somewhere and today we're also going to be able to solve radical equations not just square roots okay but we could possibly do cube root we could possibly do for 3 Okay so alright let's take a look at example number one because we have the square root poke we want to get rid of the square root K by squaring both signs that's going to be the case I have to square square root of a square cancels out sound life with x + 2 and it's supposed to be 5 * 5 can witches 20 this one noticed that we don't end up with the x squared okay somewhere here so this one is okay for us to just go ahead and finish it on the truck too but we only have x to the first okay my answer is going to be 23 okay even if the square root is on the left side it doesn't okay to go ahead and press pause here that's if you could get started with this and get as much done as possible if he gets stuck then you can go ahead and plus replay it when you're done or when you finish then you can go ahead press a play again as a positive moment work on this problem and see if you can get it on your own if not I will drag you to get after when you can press play say something here I'll let's go back to solving the problem if I'm squirting both sides of Cordova Square cancel Griffis 5 is equal to x squared + on Monday and Tuesday's notes in our classroom we moved everything to the side of x squared cancel this one I want to subtract 3x I want to subtract 5 0 is equal to x squared minus 3x minus 5 and you'll see that if you're trying to do magic Exodus problem does not work those are the only two factors in both of us have a difference of four so we didn't go gopher problem like this on our first notes session this week so at this point you should be using quadratic formula guess I figured if you had that idea a the magic X isn't work okay go ahead and use the quadratic formula here if you want to go ahead and try it on your own please pause are here again and see if you could do the quadratic formula method for this specific problem and then I'm you can unpause it eye cancer the first thing that I'm going to do is identify a b and c this is what review the last several weeks from that I'm going to do B squared minus 4AC going to calculate that is -3 squared - 4 * 1 * -5. Which is positive 9 + 20 puzzle 29 is my what's inside the square root so from 9 remember f****** into here already found the square. So ask is going to be negative negative 3 plus or minus square root of 29 which I found in Step 2 gay all over to tie 1 luckily for us inside the square root is a prime number and that actually makes a problem easier for us so we could we could just leave that as is okay and that's going to be my final answer right you already did a problem like example number three so again I would like for you to take a pause or here pause ahead and go ahead and do this problem go to spend about a minute on it if you are not able to sell their couldn't play at to check your answer that if you do finish it go ahead and press play to check your answer all right and we're back if you square both sides that's how you can get rid of better than the square they automatically cancel each other out x squared minus 1 is equal to 4x - 4 remember we had to move our next supposed to move the terms according to where the X beside that x squared is at its already positive when it squirts on when I move everything 2 the left side president have expert to know whether xpad my niggad for exercises bring that down and have plus 3 the only way that I could do this fact 3 * 1 that has product of 3 sum is negative or is it both of them are negative so this one we can use magic tracks -1 * negative positive 3 that's correct -1 + -3 is positive negative force of the magic active does work here and this is if you notice that pattern that if your middle term it shouldn't be bigger than number the constancy okay but if it is if it's just bigger by one unit then usually it's going to be this scenario okay constancy has to be positive and the middle term could be positive or negative that doesn't matter what matters is just one more than the car so do you want to go to zero is there a fish or a product well I'm going to add one about sides X is equal to 1 and add 3 to soft matter equation x is equal to now it's something that I want to know that there is a possibility it could have provided the solutions for Dorchester going to give you this week there is a possibility that there is an Terranea solution to how does that happen we substitute the answer back into the original equation and it is possible for you to get an extraneous solution with that when you check the solution it doesn't work out to be true okay that's the case that's okay okay I'm not really too focused on trying to find extraneous solutions of right now is just to substitute check your answer and be able to solve radical equations all right moving on let's go to a different type of problem what if I have not a problem that's not a square but it's a Qbert so this to cube root of x is equal to 4 well think about it if we had square root and we have to square it to cancel we have to for a cube root of a number we have to actually Cubit to cancel okay so whatever the rudest we're going to keep it and not to do that so for this one we're going to cube both sides then we do there's a cube root of a cute guy Susan Ware that's what the x 4 to the 3rd power is not 12 KY cuz we're dealing with exponents 4 x 4 x 4 x is equal to 16 times for If I come by and down six Sims 4 is actually 64 and that's going to be our best to ensure that alright then what about what we do for for 3 go to press pause we're here if you think you have the right idea go ahead and try to solve the problem and then press play when you're ready to check in and we're back I'm going to do the 4th power on both sides 4th the 4th through the 4th power cancel Sapphire 2x + 4 Z equal to on the right side I would like for you to 90 * 2 * 2 * 2 what's 4 * 4 is 16 and then we have a linear equation so I'm going to go ahead and subtract 4 10 / 2 good nice clean hole number KX ridiculous 6 so here we're looking at the relationship of what is the opposite in order for me to cancel it out so on under under three sisters for the worksheet in our second assignment there could be some cute functions cube root function there could be some fourth root functions so you have to know what the opposite of that is and if it's whatever the root is going to make it the power that same number just make sure on the right side you carry out the exponent by definition and don't make the mistake of 2 to the 4th power is 8 to the 4th power is actually 2 x 2 x 2 x 2 which makes it 64 416 I'm sorry 16 that would be the correct answer the last problem that we're going to go over today let me see if I can throw you a curveball as this it has two square roots on the left side so if you're looking at that carefully I want to square both sides but when I square there's I'm only taking that now I still have three months quarterbacks and then this cancels a Vex so I still have quarterbacks what are we supposed to do that well I could do this I love this track 3 cuz I want to isolate my square root okay and then from here I'm trying to get rid of the square so that's why I have to square both sides again Okay so pretend that there is a negative one there and I could distribute the square to both the negative one in the squared of X because this is multiplication if it's addition subtraction and I cannot do that so this is going to be positive One X X is equal to this rights as x - 3 * x - 3 I'm going to boil on the right side just sending that we did in class this week x squared minus 3x minus 3x plus negative 3 times negative positive 9 I want to combine like terms if we did this week as well subtract tax again this is going following along the theme of move everything to the side that has Tech score okay yeah I know if I'm thinking about magic X I have no factor that adds up to 7 and I have a -7 in the middle so this one does not work for magic acts so what is my alternative okay I'm going to use quadratic formula okay go ahead and pause it right here can go ahead and do that quadratic formula once you do the quadratic formula solve the problem you can go ahead and come back and press play to check your answer the first thing I'm going to do is identify a b and c those are my confessions of x squared X and Y constant from that I'm going to solve for b squared minus 4AC it's going to be negative 7 squared -4 * 1 * 9 49 - 36 is 30 okay I'm going to use that to plug it into the rest of my quadratic formula X is equal to negative -7 plus or minus square root of 13 which is a prime number that's great for us cuz I can simplify that are reduced on and then a 2 x 1 in the bottom but she makes it to okay and that's going to be my final I don't have to do anything do any other steps for here what ended up happening we actually ended up scoring two times in order to isolate X and solve for x okay and that that until I'm going to keep doing that until I get rid of all the the radicals okay so you today starting today you can start turning in your seven for the week the second assignment will Pasadena highlighting thinks is going to be the solving radical equations worksheet the one that's going to be the second assignments so we have two sets of notes there two assignments hip problems make sure you show your work as you could see every single problem that waved then shows pretty much multi-step equations so there's a lot of ocean water should make sure those are correct I will provide the solutions on the worksheet so that it's you're doing it correctly last reminder any late work please submit that by this Friday 3 p.m. is a okay plus RSM because why okay that's it for today please go ahead and download the worksheet and get started with the finish with Dad and you could get started with submitting the assignment packet for the week okay is early as today if you're done with that please plan on getting any late assignments if you don't have any okay then I'll see you guys next week okay have a wonderful day bye bye

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