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- Šmykľavka: 1
- Aw man, another BORING day in Mr. Han's class.
- Šmykľavka: 2
- Unlucky THIS, Unlucky THAT, Today we're going to go onto 7.7, which is solving radical equations and inequalities.
- Šmykľavka: 3
- ... I don't even know what that is but it already sounds bad. Time to email my counselor to drop me out this class immediately.
- Šmykľavka: 4
- What'd you just say?
- Šmykľavka: 5
- Oh. Nothing, Mr. Han. Just thinking to myself!
- Šmykľavka: 6
- That better be the case, onto the lesson now.
- Šmykľavka: 7
- 2
- So as you can see, we're cancelling out the square root by squaring the whole equation
- Šmykľavka: 8
- Errors is when you make a mistake, while extraneous is when you do everything correct but still get an answer that doesn't work out even when plugged in. Know the difference or else. It's gonna be on the TEST.
- Šmykľavka: 9
- This has got to be a prank. You just taught this TODAY!
- Yeah.. wrap it up, it's over for me.
- I know he isn't talking about a test.
- Šmykľavka: 10
- UNLUCKY UNLUCKY!!! GOOD LUCK STUDYING!!!! The test is TODAY at the end of class.
- Šmykľavka: 11
- is this guy really sleeping right in front of Mr. Han?
- Šmykľavka: 12
- Woah, where the heck am I--
- Šmykľavka: 13
- Woah, are you okay?
- Ouch.
- Šmykľavka: 14
- What the.. A wizard? But-- Mr. Han's class, wow. I must've fallen asleep. I should wake up before I get yelled at by Mr. Han
- Šmykľavka: 15
- Yeah. But how can YOU help me? You're just a weird wizard I manifested into MY dream.
- Hey, wait a minute! Aren't you having trouble in math?
- Šmykľavka: 16
- Yeah.. Let's not do this right now. If you can REALLY help me in math, can you teach me about.. Solving radical equations and inequalities?
- Yeah. Back in my days, they called me a "math wizard".. Haha.. Get it? Math-- Wizard?
- Šmykľavka: 17
- Of course I know about that! It's super easy. Want me to explain it to you?
- What the-- How did we make it into Mr. Han's classroom? Whatever.. Just-- explain it. Please.
- Šmykľavka: 18
- To start off, I'd like to mention the fact that if you see something square rooted, or cube rooted, you can rewrite it into fraction form depending on what kind of root it is.
- Šmykľavka: 19
- Oh... So, for example, as shown on the board, like-- something that's square rooted can be rewritten as the equation to the power of 1/2? Or something that's cube rooted can be placed to the power of 1/3?
- Šmykľavka: 20
- Yeah! You're understanding it! Now, we can use this for the equation on the next side.
- Šmykľavka: 21
- For example, in this question, to solve, you can add one to the other equation, then place it to the power of 3 to get rid of the cube root on the other side of the equation.
- Šmykľavka: 22
- So.. that would make it -1.. and then the answer is 3x + 2 = -1.. so we subract 2.. then we get 3x = -3 then divide.. and we get.
- Šmykľavka: 23
- You did it! Great work!
- One! The answer is one! I just solved a radical equations! That wasn't that difficult.
- Šmykľavka: 24
- This CAN'T be good.
- Why is everything shaking? Am I waking up from my nap!?
- Šmykľavka: 25
- Oh my goodness. what is this guy on about? Talking about some wizard... crazy.
- WAKE UP!!!!!! Alejandro, How COULD you EVER even THINK about sleeping in my class? You know what? If you can sleep, I bet you can answer the question on the board RIGHT NOW!
- But Mr Han.. The wizard.. In my dream! He taught me all about this!
- Šmykľavka: 26
- Uhh.. So for the first question, we can square the equation to get rid of the square root..
- No way he gets this..
- Šmykľavka: 27
- Then.. we get 2x + 6 = x^2 + 6x + 9.. We subtract 2x, and minus six, then we get 0 = x^2 + 4x + 3
- Šmykľavka: 28
- Then we factor it, and get (x+3)(x+1) then we get x = -1 and x = -3..
- Šmykľavka: 29
- If we plug in -1, the equation works out, so it is neither extraneous or a mistake, same goes with -3.
- Whatever! Go back to your seat right this INSTANT.
- Šmykľavka: 30
- Pop quiz everybody!
- Yeah..
- Šmykľavka: 31
- Great work PAL, now we got a pop quiz to do.
- Blame Mr. Han, not me!
- Šmykľavka: 32
- Just one question? This can't be that difficult. Easy 100%
- Mr. Han's test - 7.7 Solving Radical Equations
- 1. 2f = √4f² + 6f - 12
- Šmykľavka: 33
- Ok so first.. We just square root everything right? To get rid of the square root. So we square root.. and end up with 4f^2 = 4f^2 + 6f - 12
- (2f)(2f) = 4f^2 + 6f -12
- Šmykľavka: 34
- Come on.. Now we just need something that cancels out the -12 through multiplying 6, we can just use two! The answer is two!
- 4f^2 = 4f^2 + 6f -12
- 0 = 6f - 12
- f = 2
- Šmykľavka: 35
- f = 2
- Šmykľavka: 37
- Two weeks later:
- I know right, I'm the goat Mr. Han, the wizard taught me all I know. 😎
- I guess you got lucky.. great job on the test.
- A+
- 100%
-
- Šmykľavka: 38
- What wizard are you talking about!? Get out my classroom NOW.
- Alright, gosh.. this is why the wizard teaches better math than you..
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