Mathematics
7 Online
OpenStudy (anonymous):
Help! I will type question,TK
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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
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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
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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
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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
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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