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Mathematics 6 Online
OpenStudy (anonymous):

(x-3)^3+8=0

OpenStudy (helder_edwin):

add -8 to both sides

OpenStudy (anonymous):

well i got to this part x^3-19=0

OpenStudy (helder_edwin):

no \[ \large (x-3)^3=-8 \]

OpenStudy (anonymous):

k then

OpenStudy (helder_edwin):

now take cubic roots of each side

OpenStudy (anonymous):

x-3=2i?

OpenStudy (anonymous):

yes

OpenStudy (helder_edwin):

no \[ \large \sqrt[3]{(x-3)^3}=\sqrt[3]{-8}=-2 \]

OpenStudy (helder_edwin):

then u have \[ \large x-3=-2 \]

OpenStudy (anonymous):

ook so now why did you subtract 8 from both side instead of doing the parenthesis

OpenStudy (helder_edwin):

if u had done that, in the end u would have had to use syntthetic division or something else to solve the equation. it is not a bad idea, but it is harder

OpenStudy (anonymous):

so how do know when to do your method

OpenStudy (anonymous):

how would i know when do apply your method

OpenStudy (helder_edwin):

did they teach the order of operations?

OpenStudy (anonymous):

nop

OpenStudy (helder_edwin):

come on... for real??

OpenStudy (anonymous):

oo my bad didnt read read the question right

OpenStudy (helder_edwin):

well. take a look at this \[ \large (7-3)^8+8= \]

OpenStudy (helder_edwin):

tell me step by step how would u compute this

OpenStudy (anonymous):

if i were do do this i would find the difference of the number in parenthesis, then raise the result to the 8th power and then add it to 8

OpenStudy (helder_edwin):

great

OpenStudy (helder_edwin):

to solve an equation u do that but in reverse order: 1st undo +8 2nd undo ^3 3rd undo -3 got it?

OpenStudy (anonymous):

hmm

OpenStudy (helder_edwin):

did they (your teachers) taught you this?

OpenStudy (anonymous):

i dont remember something like this lol

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