To find the root locus plot of the given closed-loop system, we need to follow these steps:

1. Start by rearranging the characteristic equation to the standard form: 𝑠^2 + (1+k)𝑠 + (k-4) = 0.

2. Identify the open-loop transfer function of the system. In this case, it is the ratio of the output to the input in the Laplace domain, which can be written as G(s) = (s + 1) / (𝑠^2 - 4).

3. Determine the poles and zeros of the open-loop transfer function. The poles are the values of s that make the denominator of G(s) equal to zero, while the zeros are the values of s that make the

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To find the root locus plot of the given closed-loop system, we need to follow these steps:

1. Start by rearranging the characteristic equation to the standard form: 𝑠^2 + (1+k)𝑠 + (k-4) = 0.

2. Identify the open-loop transfer function of the system. In this case, it is the ratio of the output to the input in the Laplace domain, which can be written as G(s) = (s + 1) / (𝑠^2 - 4).

3. Determine the poles and zeros of the open-loop transfer function. The poles are the values of s that make the denominator of G(s) equal to zero, while the zeros are the values of s that make the

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To find the root locus plot of the given closed-loop system, we need to follow these steps:

1. Start by rearranging the characteristic equation to the standard form: 𝑠^2 + (1+k)𝑠 + (k-4) = 0.

2. Identify the open-loop transfer function of the system. In this case, it is the ratio of the output to the input in the Laplace domain, which can be written as G(s) = (s + 1) / (𝑠^2 - 4).

3. Determine the poles and zeros of the open-loop transfer function. The poles are the values of s that make the denominator of G(s) equal to zero, while the zeros are the values of s that make the

A closed-loop system has the characteristic function (𝑠2 – 4) (s + 1) + k (s - 1)=0 . Its root locus plot against K is -------Select one:a. b. c. d.

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