f(x)=x^3+8
find all zeros by factoring each function.
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OpenStudy (anonymous):
hi
jhonyy9 (jhonyy9):
x=2
OpenStudy (anonymous):
no
jhonyy9 (jhonyy9):
-2
jhonyy9 (jhonyy9):
is right
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OpenStudy (anonymous):
they has 3 different result, yours is one (-2)
jhonyy9 (jhonyy9):
3 result ???
OpenStudy (anonymous):
yes
jhonyy9 (jhonyy9):
looke x^3 +8=0
x^3 =-8 = -2^3
OpenStudy (anonymous):
{-2, 1+i sqrt 3, 1-i sqrt3
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OpenStudy (anonymous):
I think 3^+8= (x+2)(x^2-2x+4)
OpenStudy (anonymous):
so x=-2 and x^2-2x+4 will give other two results
OpenStudy (anonymous):
use squardric formular to do it
OpenStudy (anonymous):
I think you gone
jhonyy9 (jhonyy9):
yes is right and you need to calculate x from x+2 from this will get x=-2
and from x^2 -2x +4
2+/- radical (4-16) 2(1+/- i radical 3)
x_1,2 = ------------------ = ----------------- = 1+/- i radical 3
2 2
radical hope that you know equal sqrt
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jhonyy9 (jhonyy9):
hope that this is clearly
OpenStudy (anonymous):
yesbu i in this case is 1^2?
OpenStudy (anonymous):
i in this case is (-1)^2?
jhonyy9 (jhonyy9):
sorry what is this what you have wrote ?
OpenStudy (anonymous):
I don't understand why you use i-radial 3. What is i ?
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OpenStudy (anonymous):
I think i = (-1)^2
jhonyy9 (jhonyy9):
if you see there is x_1,_2 = (2+/- sqrt (4-16))/2
and here from sqrt(-12) you get 2i sqrt 3 but after you simplified with 2 will remain this resulte
jhonyy9 (jhonyy9):
now is clearly ?
OpenStudy (anonymous):
so sqrt (-2)^* 3 = i sqrt 3
OpenStudy (anonymous):
yes it is clear
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