Use the Quadratic Formula to Solve the Given Equation on the Interval

question 12

Short Answer

Use the Quadratic Formula to solve the given equation on the interval $\left[ 0 , \frac { \pi } { 2 } \right)$ ; then use a graphing utility to approximate the angle x. Round answers to three decimal places.
​ $18 \tan ^ { 2 } x - 13 \tan x + 2 = 0$ ​

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Definitions:

Extrinsic Motivation

Extrinsic Motivation involves performing an activity in order to attain an outcome that is separate from the person, such as rewards or avoiding punishment.

Incompatible

Unable to exist or work together without conflict.

Intrinsic Rewards

The personal satisfaction and pleasure derived from accomplishing a task or learning new skills, independent of external rewards.

Extrinsic Motivation

Motivation driven by external rewards, such as money or praise, rather than by the inherent enjoyment or interest in the task itself.