How do I find all solutions for? 5 sqr 3 tan+3 = 8 sqr 3 tanx

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Feb 10, 2018

Answer:

#color(blue)(pi/6+npi)#

Explanation:

#5sqrt(3)tanx+3=8sqrt(3)tanx#

#3=8sqrt(3)tanx-5sqrt(3)tanx#

#3=3sqrt(3)tanx#

Divide by 3:

#sqrt(3)tanx=1#

#tanx=1/sqrt(3)#

#x=arctan(tanx)=arctan(1/sqrt(3))=pi/6+npi#

Where #n# is an integer.

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