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Mathematics 20 Online
OpenStudy (anonymous):

(x-3-2i)(x+3+2i)

OpenStudy (joannablackwelder):

Distribute and combine like terms. Remember that i^2=-1

OpenStudy (anonymous):

yah, but im lazy :)

OpenStudy (joannablackwelder):

It's not that long...it will be done faster and you can enjoy doing something else if you just..do..it. :)

OpenStudy (anonymous):

the full question is givin that 3+2i is one root of the equation x^3+Ax^2+b=0 where a and b are real numbers find all the roots of the equations

OpenStudy (joannablackwelder):

Ah, I see. Have fun!

OpenStudy (anonymous):

thanks, i enjoy math but its getting late

OpenStudy (joannablackwelder):

x^2 - 5 - 12i

OpenStudy (kc_kennylau):

@JoannaBlackwelder @harryherzberg no you don't need to distribute

OpenStudy (kc_kennylau):

you can use the identity \((a+b)(a-b)\equiv a^2-b^2\)

OpenStudy (joannablackwelder):

You still have to distribute using that method, just later on.

OpenStudy (joannablackwelder):

It is fewer steps, though.

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