Mathematics
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OpenStudy (anonymous):
(x+2)^2/3 = 9 . HELLLLLP PLEASSE
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OpenStudy (anonymous):
$$x = \sqrt{27} - 2$$
OpenStudy (anonymous):
how did you get that ?
OpenStudy (anonymous):
please explain
OpenStudy (anonymous):
(x+2)²/3 = 9
(x+2)² = 27
(x+2) = +/-sqrt(27)
$$x = \pm \sqrt{27} - 2$$
OpenStudy (anonymous):
thank you
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OpenStudy (anonymous):
the exponent is 2 over 3 just to let you know
OpenStudy (anonymous):
it is $$(x+2)^{2/3}$$ or $$((x+2)^2)/3$$ ?
OpenStudy (anonymous):
ohhh ok, sorry
OpenStudy (anonymous):
the first one
OpenStudy (anonymous):
let do again
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OpenStudy (anonymous):
okay
OpenStudy (anonymous):
(x+2)^(2/3) = 9
(x+2) = 9^(3/2)
x = 27 -2
x = 25
OpenStudy (anonymous):
how did you get 27 from 9^(3/2) ?
OpenStudy (anonymous):
Ok, 9^(3/2) = $$\sqrt{9^3}$$ = $$\sqrt{729}$$ = 27
OpenStudy (anonymous):
Oh okay (: thank you . do you mind helping me with another ?
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OpenStudy (anonymous):
sure
OpenStudy (anonymous):
(3x+9)^(3/4) = 81
OpenStudy (anonymous):
is it 27 ?
OpenStudy (anonymous):
or 6 i mean
OpenStudy (anonymous):
(3x+9)^(3/4) = 81
(3x+9) = 81^(4/3)
x = (1/3) * (-9 + 243*3^(1/3))
x = -3+81*3^(1/3)
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OpenStudy (anonymous):
wait so what is the answer?
OpenStudy (anonymous):
x = -3+81*3^(1/3)
OpenStudy (anonymous):
i dont get it
OpenStudy (anonymous):
$$x = -3 + 81\sqrt[3]{3}$$
OpenStudy (anonymous):
i dont understand how you got that
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OpenStudy (anonymous):
ok, let's start again from here:
(3x+9) = 81^(4/3)
$$3x+9 = 243\sqrt[3]{3}$$
$$3x = -9 + 243\sqrt[3]{3}$$
$$x = -3 + 81\sqrt[3]{3}$$
OpenStudy (anonymous):
ohhhhhhhhhhhhhhhhhhhhhh
OpenStudy (anonymous):
thanks
OpenStudy (anonymous):
wait how did you get 243?
OpenStudy (anonymous):
81^(4/3) = $$(\sqrt[3]{81})^4 = (3\sqrt[3]{3})^4 = 243\sqrt[3]{3}$$
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OpenStudy (anonymous):
oh okay i understand now
OpenStudy (anonymous):
or you can see in this way:
$$\sqrt[3]{81^4} = 243\sqrt[3]{3}$$
OpenStudy (anonymous):
got it?