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Mathematics 23 Online
OpenStudy (anonymous):

How many solutions does the following system of equations have? x=-2 x^2+y^2=4

OpenStudy (anonymous):

one....

OpenStudy (anonymous):

noo... wait... two

OpenStudy (amistre64):

care to give some sort of proof?

OpenStudy (anonymous):

wait... okay so the second equation is circle.. with it's center at (0,0) aka the origin

OpenStudy (anonymous):

and a radius of 2....

OpenStudy (anonymous):

meaning it'll hit x=-2 only once...

OpenStudy (anonymous):

and in the first equation x can only equal -2

OpenStudy (anonymous):

so the answer is one.

OpenStudy (amistre64):

correct :) so there is only 1 solution

OpenStudy (anonymous):

:)

OpenStudy (anonymous):

ooo thank you guys!

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