find the solution set for tan2 theta8tan theta60 Type answer

find the solution set for tan^2 theta+8tan theta+6=0. Type answers in degrees for the soltuions from 0 to 360 degrees

Solution

Given

tan² + 8*tan + 6 = 0

Let tan = x

then x^2 + 8x + 6 = 0

x = -0.8377223 = tan =======> = 140.05, 320.05

x = -7.1622776 = tan =======> = 97.95, 277.95