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Mathematics 7 Online
OpenStudy (anonymous):

Help! I will type question,TK

OpenStudy (anonymous):

well, this is basically: \[\sqrt[3]{(x-6)^2}=8\]

OpenStudy (anonymous):

sorry exponent is 3/2 not 2/3

OpenStudy (anonymous):

its x=sqrt(2)+6

OpenStudy (anonymous):

well, still we can the simply square both sides and get: (x-6)^3=8^2

OpenStudy (anonymous):

\[(x-6)^{\frac{3}{2}}=8\]

OpenStudy (anonymous):

which would the give us: x^3-18x^2+108x-216=64

OpenStudy (anonymous):

yes,I did than what next ?

OpenStudy (anonymous):

how you factor find x ?

OpenStudy (anonymous):

then subtracting 64 from both sides we get: x^3-18x^2+108x-280

OpenStudy (anonymous):

well, we can factor by grouping i hope

OpenStudy (anonymous):

(x^3-18x^2)+(108x-280)

OpenStudy (anonymous):

I.m stuck ffrom here

OpenStudy (anonymous):

x^2(x-18)+4(27x-70)

OpenStudy (anonymous):

but that really wont help us

OpenStudy (anonymous):

i suggest we use this form: (x-6)^3=64

OpenStudy (anonymous):

that an anwser? wolf answer x=10 ,I spend many hours can't get x=10

OpenStudy (anonymous):

i mean x-6=4

OpenStudy (anonymous):

the add 6 to both sides and get: x=10

OpenStudy (anonymous):

wow, that relatively easy

OpenStudy (anonymous):

to think that we went all the way with the factoring.

OpenStudy (anonymous):

I see good help, I spend many hours , can't get x=10 ,TY

OpenStudy (anonymous):

np

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