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joshi
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with...
mercedies
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\[\sqrt{4x-y}=3d\]
mercedies
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solve for x
scarydoor
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You can square both sides, to start with.
mercedies
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kk
joshi
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oh do you just need x by itself? i thought you wanted like actual values. ok phew
mercedies
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lol
scarydoor
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getting x by itself is getting the actual values.
joshi
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no i meant like a numerical value
scarydoor
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it would be a numerical value. Determined by unknown d and variable y.
mercedies
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ok
mercedies
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i have know idea what to do
joshi
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did you square both sides?
mercedies
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ya
joshi
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what did you get
mercedies
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umm idk
joshi
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what do you mean? well i got 4x-y=9d^2
mercedies
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\[\sqrt{4x-y}=3d\]ummm
mercedies
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i need to solve for x
joshi
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well squaring both sides would get you (squareroot 4x-y) ^2 = (3d)^2
mercedies
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how do you get ^2
joshi
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and so now you're squaring a square root. it's like (squareroot of 4)^2
square root of 4 is 2 right? so it would be 2^2 which is 4 again.
so basically if you're squaring a square root, you're not really doing anything so the square root and square cancel each other out if that makes sense
joshi
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oh ^2 means sqaure
mercedies
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oo
joshi
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so you get how to square both sides then?
mercedies
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idk this is my first time doing this or a problem like this
joshi
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oh ok well have you done questions like this: x^2 = 25
mercedies
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ya
mercedies
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that would be 5 ya
joshi
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yeah this question is pretty much the same thing
mercedies
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oo
joshi
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so in the x^2=25 you basically square rooted both sides.
so square root of x^2 = square root of 25
x=5
but it in this question you have to square both sides, give it another try
mercedies
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so you square the 3d
joshi
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yup and also the sqrt 4x-y
mercedies
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so would it be 9d
joshi
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9d^2 but yeah
mercedies
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kk then what do i do
joshi
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did you also square the other side?
mercedies
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so would it be 16x-y^2
joshi
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no because remember its squareroot of 4x-y already. so squaring it gets you squareroot of 4x-y times squareroot of 4x-y which is just 4x-y
mercedies
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so it stays the same
joshi
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yeah
joshi
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can you solve it now? you just have to get x by itself
mercedies
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would the square roots still be there
joshi
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no
mercedies
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k
mercedies
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so it would look like 4x-y=9d
joshi
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ok well you should also probably ask your teacher this too cause in math it's really important to know why things happen
joshi
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yeah exactly
mercedies
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kk i dont have a teacher
joshi
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oh...how does that work?
mercedies
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well my mom is my teacher but my mom is in the hospital
joshi
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ohh ok
mercedies
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ya
mercedies
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how do i get x by it's self
joshi
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sorry if you dont mind me asking, what grade are you in? like technically, like your age
mercedies
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14 in 9
joshi
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so in an equation whatever you do to one side, you have to do to another. so you could add y to both sides which would get you 4x by itself
joshi
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sorry again, (none of my business i know) but why don't you go to school?
mercedies
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so what i got was 4x=9dy drama and lot of fighting
joshi
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that's right except that it's d^2 not just d
joshi
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oh, well i'm sorry. hope it works out, whatever it is
mercedies
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oo k
mercedies
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thank you well we are having hard times my bf just got put in jail for a year
joshi
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aww :/ Imagine all the people, living life in peace... *swaying to the awesome music* sorry, only thing i could think of
joshi
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It's good that you're doing math and stuff though
mercedies
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lol thank you hes only 15
joshi
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i thought you couldn't go to jail unless you're an adult? well i suppose different countries
mercedies
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ya well i live in hawaii so there is only two jails and one prison and a whole lot of bad kids they do what they have to
joshi
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ohh the kids do what they have to?
mercedies
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ya well know that i look back at what happened it is his own problem
joshi
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oh. well anyways good luck. time heals
mercedies
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ya kk so know what do i do with 4x=9d^2y
joshi
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oh i thought you'd solved it. well think about, this time entire time you've been doing things to both sides. how would you get x by itself this time?
mercedies
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you divide 4 on both sides
mercedies
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because what happens on one side you do to the other
joshi
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yeah! exactly! :D good job
mercedies
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thank you so it would be 2.25 d^2y
joshi
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wait what? so i had 4x=9d^2 + y
and so x= (9d^2 + y)/4
mercedies
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ya and that is what i did then i divided 9/4=2.25