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Mathematics 10 Online
OpenStudy (dtan5457):

How many general solutions does 4cos^2x-3=0 have?

OpenStudy (dtan5457):

4, right? once you take the square root of cos, you get +/- sqrt3/2

OpenStudy (dtan5457):

@Nnesha

OpenStudy (dtan5457):

@alyssa_xo

jimthompson5910 (jim_thompson5910):

I think you meant to ask: "how many particular solutions does the equation have" right?

OpenStudy (dtan5457):

well by general you always have +2npi or +npi

OpenStudy (dtan5457):

rather then the exact solution

jimthompson5910 (jim_thompson5910):

what general solutions do you get

OpenStudy (dtan5457):

pi/6+2npi 5pi/6+2npi 7pi/6+2npi 11pi/6+2npi

OpenStudy (dtan5457):

same goes with 3tan^2x-9=0, another 4 solutions?

OpenStudy (dtan5457):

i don't know which ones to choose if cos is both positive and negative

jimthompson5910 (jim_thompson5910):

nvm, I misread anyways, it looks like you got all 4 solutions since I'm getting the same thing

OpenStudy (dtan5457):

same goes with 3tan^2x-9=0? 4 solutions?

jimthompson5910 (jim_thompson5910):

which 4?

OpenStudy (dtan5457):

well i didn't solve it yet, i know how to, i just want to make sure there is suppose to be 4

jimthompson5910 (jim_thompson5910):

yeah it looks like there are 4 based on the graph I'm getting

OpenStudy (dtan5457):

thank you..

jimthompson5910 (jim_thompson5910):

np

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