Use a graphing utility to solve the equation on the interval 0 $0 ^ { \circ } \leq x

Question

Use a graphing utility to solve the equation on the interval 0 $0 ^ { \circ } \leq x < 360 ^ { \circ }$ . Express the solution(s) rounded to one decimal
place.
-tan2 x + 5 tan x + 3 = 0
A) 103.1°, 145.1°, 283.1°, 325.1°
B) 70.5°, 109.5°, 180.0°
C) 51.8°, 128.2°
D) 49.8°, 130.2°, 229.8°, 310.2°

Quizplus · Accepted Answer

The equation tan2 x + 5 tan x + 3 = 0 can be solved using a graphing utility by plotting y = tan2 x + 5 tan x + 3 and finding the x-intercepts within the given interval. The correct solutions, rounded to one decimal place, are 103.1°, 145.1°, 283.1°, and 325.1°, which match option A.

Use a Graphing Utility to Solve the Equation on the Interval