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iwanttogotostanford
 one year ago
Find the solution of 3 times the square root of the quantity of x plus 6 equals negative 12, and determine if it is an extraneous solution.
iwanttogotostanford
 one year ago
Find the solution of 3 times the square root of the quantity of x plus 6 equals negative 12, and determine if it is an extraneous solution.

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iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1@ospreytriple @BloomLocke367 @freckles

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.2First off, can you write that in an equation?

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.2Do that first. Tell us what you get.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You have\[3\sqrt{x+6} = 12\]What do you think we should do first?

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1\[3\sqrt{x+6}=12\]

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.2There are a few ways to do this, but the easiest would be to isolate the radical. Do you know how you would do that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Well we have to get the 'x' stuff all by itself, so how would you get rid of that 3?

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1square it?

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.2you have to get rid of the 3 first. Right now, the 3 is being multiplied with \(\sqrt{x+6}\). How do you "get rid of" something that is being multiplied?

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.2Yes! now divide both sides by 3 and tell me what you're left with

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1i don't have a calulator with me right now

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.2You don't know \(12\div 3\)?

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1yes its 4

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.2There you go. so right now, you have \(\sqrt{x+6}=4\) correct?

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.2Now, how would you get rid of that radical?

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1hmm im not sure

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.2Well, what's the opposite of taking the square root of something?

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1squaring it?

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1im clueless on this sorry

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.2yes! so you have to square both sides :D

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.2Don't apologize. You're doing great :D

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1okay, thanks!

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1so it would be x^2+36=16?

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.2No, because when you squared it, it just cancelled out the radical. For instance, when you take \(\sqrt1^2\), you don't get \(1^2\) do you? No, you just get 1. Try again. The right side is correct.

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1so, x+6=16?

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1ok, thanks! so then it would be x=10 right?

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1and would it be extraneous or not extraneous though?

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.2mhm, I'm pretty certain. Let me ask @Nnesha if I did this correctly. Now we just have to check to make sure it's not extraneous. Do you know what an extraneous solution is?

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.2Okay, thanks. lol @iwanttogotostanford do you know what an extraneous solution is?

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1@BloomLocke367 yes

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.2Then graph it and find out if there's a point where x=4

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1do you know if it is or not? I'm sorry I'm just in a very hard place right now to be graphing things (I'm on a plane)

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0you can substitute x for 10 into the original equation to find out if it's extraneous or not. :=)

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1thanks! @Nnesha

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.2Sorry, I was afk. Thanks @Nnesha

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0if you get equal sides then it's not extraneous if both sides are not equal then 10 would be an extraneous

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1ok thanks do u know if it is or not? @Nnesha

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.2oops, I don't know why I said 4 earlier, I meant to say 10. lol

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0no i don't. you have to figure it out!

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1@Nnesha well i don't have paper with me so its really hard

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0welll, you can use `paint`

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0that would be fun! trust me

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1ok, thank you @Nnesha

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1i got extraneous:)

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1no they aren't equal

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1they aren't equal= not extraneous?

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.2You were correct the first time, it is extraneous because they are not equal.

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0both sides are not equal = extraneous both sides are equal = nonextraneous

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.2when you take the square root of something, it could be positive or negative

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0`something` if you mean square root of negative number then you will get `imaginary` solution if you take square root of positive then you would always get positive answer

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1i think its nonextraneous

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.2how so? because 4*4=16 AND 4*4=16

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1oh whoops i did 4 times 4

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0\[\huge\rm 3\sqrt{10+16}=12\] whet did you get at left side ?

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1i get it now

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.2I gotta go, sorry!

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0i said `number` if 4 times 4 = positive number so square root would be positive

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0so it's extraneous or nonextraneous ?

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1ok it is extraeous then

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0yes right \[12\cancel{=}12\]

iwanttogotostanford
 one year ago
Best ResponseYou've already chosen the best response.1thank you @Nnesha
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