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Mathematics 24 Online
OpenStudy (marcelie):

help please !! solve the equation on the interval [ 0, 2pi )

OpenStudy (marcelie):

OpenStudy (welshfella):

cos^2x + 2 cos x + 1 = 0 this is a quadratic equation and factors to (cos x + 1)^2 = 0

OpenStudy (marcelie):

then whats the next step

OpenStudy (marcelie):

@directrix

OpenStudy (lucylu252):

subtract both sides by 2

OpenStudy (lucylu252):

1*

OpenStudy (marcelie):

im confused

OpenStudy (lucylu252):

@welshfella told you (cos x + 1)^2 = 0. so you are going to then subtract both sides by 1 to get cos x by it'self

OpenStudy (lucylu252):

So, you'll get the answer cos x = -1 and cos x = -1 because writing (cos x + 1)^2 is the same thing as (cos x +1)(cosx +1)

OpenStudy (marcelie):

so then cos (x) = -1

OpenStudy (marcelie):

and that'll be pi ?

OpenStudy (lucylu252):

yes, that's correct

Directrix (directrix):

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