#Limits

1 messages · Page 1 of 1 (latest)

gusty halo
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lets see

gilded abyss
# gusty halo lets see

stare thank you for looking into this, I'm in a pinch since I have a job in a few hours to attend.

slow sentinelBOT
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@gilded abyss has given 1 rep to @gusty halo

gusty halo
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multiply by conjugate

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sqrt(2y+22)-4

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both up and down

gilded abyss
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I actually did

gusty halo
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and

gilded abyss
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wait is it sqrt 2y+22-4 or in fact sqrt (2y +22 )-4

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cause I did the former

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If I read it as the latter I think I can find the answer

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OMG I just realized I Read the sqrt wrong

gusty halo
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wait

gilded abyss
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Yeah I believe I have read it wrong thank you so much for clearing this out. as for the thing you wish to let me know what is it?

gusty halo
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did you solve it?

gilded abyss
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let me try

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@gusty halo ooof I cant I'm getting confused

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may I know how you will solve this one?

gusty halo
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im trying as well xD i thought it was eas

gilded abyss
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I

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I'm stuck with

gusty halo
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or nvm

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yes

gilded abyss
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ok wait let me re write it

gusty halo
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get this

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after multiplying conjugate

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then you break out 2 fromtop

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and divide away x + 3

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then you get

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then input x = -3

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and then its solved

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should be 1 /4

gilded abyss
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wait how did it became a 2x+6?

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wouldnt it be 2x+22+16?

gusty halo
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minus 16?

gilded abyss
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-4x-4 is positive 16 right?

gusty halo
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the conjugate of sqrt(2y+22) - 4 is sqrt(2y+22)+4

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(a+b)(a-b) =a^2 - b^2

gilded abyss
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ah may I know why is it +4 instead of -4?

gusty halo
gilded abyss
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The complex conjugate has the same real part as z and the imaginary part with the opposite sign. That means, if z = a + ib is a complex number, then z∗ = a − ib will be its conjugate. In the polar form of a complex number, the conjugate of re^iθ is given by re^−iθ.

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I see so I should write them off as the opposite of the part where there isnt any variable

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is that how you conjugate?

gusty halo
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ok if youre confused about conjugate just skip it

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you dont even need any knowledge about it

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just the rule

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(a+b)(a-b) = a^2 -b^2

gilded abyss
gilded abyss
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I'll just do 2(x+3) then I'm all set

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cancel them out

gusty halo
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if you multiply both top and bottom with something

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lets say 5

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its same as multiplying by 1

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because they both cancel each other out

gilded abyss
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yeah it cancels out

gusty halo
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so its mathematically correct

gilded abyss
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the answer of the equation is 2/8

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which is 1/4

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Thank you so much for clearing things out

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how do I rep you again?

gusty halo
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already did

gilded abyss
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Thank you again so much for helping me.

gusty halo
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but like

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algebraic one is

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x + y -> x - y

gilded abyss
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I see noted, I'll definitely review on that one.