[Solved] a. What numbers cannot be solutions of the equation \(\frac { x } { x - 5 } + \frac { 10 } { x } = 3\) ? b. Solve: \(\frac { x } { x - 5 } + \frac { 10 } { x } = 3\) Path-goal Leadership Theory: A theory suggesting that the leader's role is to clear the path towards the goal by addressing obstacles and providing support to increase follower motivation. Directive Leadership: A leadership style characterized by leaders who give instructions, set clear goals, and expect compliance from their subordinates. Path-goal Leadership Theory: A theory that postulates a leader's effectiveness is based on their ability to clear followers' paths to their goals with the appropriate leadership style, thus enhancing their performance and satisfaction. Servant Leadership: This leadership philosophy focuses on the leader's primary role as serving the needs of others, prioritizing the well-being and development of their team members above their own.