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Mathematics 13 Online
OpenStudy (anonymous):

how do I find all the zeroes of the equation x^3-x^2=3x+3

OpenStudy (anonymous):

yes it's x

OpenStudy (anonymous):

Set the equation equal to zero by bringing the 3x and 3 to the left.

OpenStudy (anonymous):

this is the original problem, yes set = to 0

OpenStudy (anonymous):

i just typed in original equation

OpenStudy (shubhamsrg):

you sure thats +3 and not -3 on RHS..

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

choices are i sq rt3, -i sq rt 3, -1 or i sq rt 3, -i sq rt 3, 1 or sq rt 3, -sq rt 3, -1

OpenStudy (anonymous):

You can substitute in: \[y = -x\]

OpenStudy (anonymous):

then factor in terms of y

OpenStudy (shubhamsrg):

aahh,,i see now.. go for sum of roots,product in pairs, and product of roots thing then ..

OpenStudy (anonymous):

then convert back to x

OpenStudy (anonymous):

agh! sorry, misread equation.

OpenStudy (anonymous):

k

OpenStudy (anonymous):

the original question is perfectly fine. The "zero" of an equation is the same a "root" of the equation. you don't need a y. So the sign IS different? Thats makes a huge difference because then it factors easily. Otherwise its a serious problem

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