#Part c

100 messages · Page 1 of 1 (latest)

smoky elk
crude olive
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okay u can do a and b

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then do a = b

smoky elk
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yh

crude olive
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tell me what you get

smoky elk
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3x^2+1 = (3x+1)^2

crude olive
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what do you think you're gonna have to solve

smoky elk
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uh

crude olive
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(the squared x terms may be a clue)

smoky elk
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solve for x

crude olive
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yes but

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it's a quadratic

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you're gonna have to solve

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oh actually it's not cus it'll simplify

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anyways

smoky elk
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lol

crude olive
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we need one side of the equation = 0

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so how could we do that

smoky elk
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kk

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minus one side

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wait no

crude olive
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you need to deal with the right hand side

smoky elk
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should i expand it?

crude olive
crude olive
smoky elk
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i should expand

crude olive
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do it

smoky elk
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k

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i got

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9x^2 + 6x+1

crude olive
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,w expand (3x+1)^2

rapid adderBOT
crude olive
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good job

smoky elk
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tyty

crude olive
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so now we have 3x^2 + 1 = 9x^2 + 6x + 1

smoky elk
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yes

crude olive
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so we need one of the sides = to 0

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how could we do this

smoky elk
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minus the left side

crude olive
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good

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do it

smoky elk
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0=9x^2 + 6x +1 -3x^2 + 1

crude olive
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simplify

smoky elk
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6x^2 + 6x

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=0

crude olive
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ooo nice

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okay so we can actually simplify that even further

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what's common between 6x^2 + 6x

smoky elk
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how

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x

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oh factorise

crude olive
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yeah

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factorise it out

smoky elk
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x(6x+6)

crude olive
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(when it's in this form we can always factorise by taking a common factor out)

crude olive
smoky elk
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oh yh

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6x( x + 1)

crude olive
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,w simplify 9x^2+6x+1-3x^2+1

rapid adderBOT
smoky elk
crude olive
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technically no, it'll just take a lot longer than what you did

smoky elk
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kk

crude olive
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now, solve :)

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(when there's a term outside the brackets, the solution to that term is always 0)

smoky elk
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wdym

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how can i solve this

crude olive
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the solution to 6x is 0

smoky elk
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im lost

crude olive
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do you know how to solve quadratics

smoky elk
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i did tht long time ago

crude olive
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okay so basically we can write each term as a separate equation

smoky elk
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ohh

crude olive
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so our 2 equations we can write are:
6x=0
x+1=0

smoky elk
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is it like -1

crude olive
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yes that's 1 solution

smoky elk
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i see

crude olive
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what's the other solution

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since quadratics always have 2

smoky elk
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-6

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i think

crude olive
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6x=0

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how do you get just x

smoky elk
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minus

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6

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or divide

crude olive
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6x means 6 times by x

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so yes it's gonna be divide

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so therefore, x = 0/6

smoky elk
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oh

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right

crude olive
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and what happens if we divide 0/6

smoky elk
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0

crude olive
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bingo

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so your 2 solutions are,
x=0 or x=-1

smoky elk
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kk

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ty*

crude olive
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np :)

eternal mantle
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x should be -1 or 0