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OpenStudy (anonymous):
9.
Find all the zeroes of the equation.
x3 – x2 = –3x – 3 (1 point)
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OpenStudy (anonymous):
\[x ^{3}-x ^{2}=-3x-3?????????\]
OpenStudy (anonymous):
Start by setting the equation equal to 0
x3 – x2 = –3x – 3
move –3x – 3 to the left side
so:
x3 – x2+3x-3=0
OpenStudy (anonymous):
So then I set those numbers equal to zero?
OpenStudy (anonymous):
Now, From x3 – x2+3x-3=0, you want to factor
So (x-1)(x^2+3)=0
(x-1)=0
(x^2+3)=0
OpenStudy (campbell_st):
slight error
the equation when set to zero is
x^3 - x^2 + 3x + 3 = 0
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OpenStudy (anonymous):
oops. My bad.
So then just factor:
x^3 - x^2 + 3x + 3 = 0
OpenStudy (campbell_st):
so good luck finding the zeros... and I hope there is a typo...
I think there has to be 2 complex roots at a guess
OpenStudy (anonymous):
I'm so confused :/
OpenStudy (campbell_st):
is your original equation correct... \[x^3 - x^2 = -3x - 3\]
OpenStudy (anonymous):
Yes it is.
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OpenStudy (anonymous):
I dunno. I have been stuck on 2 questions for about an hour now and they should be pretty easy but they aren't. :/
OpenStudy (anonymous):
\[i \sqrt{3} , 1\]
OpenStudy (anonymous):
Would that be the zeros?
OpenStudy (campbell_st):
nope... thats why I asked if the equation was correctly typed...
OpenStudy (anonymous):
|dw:1355122630040:dw|
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