Summarize the following:
Recall that after isolating the radical on one side of the equation, you then squared both sides to remove the radical sign. This is a necessary step to solving the problem. However, the squaring operation is what creates the extraneous solutions. Remember some basic mathematics, that both a negative and a positive number, when squared, will give the same result. For example, (−3)2{\displaystyle (-3)^{2}} and 32{\displaystyle 3^{2}} both give the answer of 9{\displaystyle 9}. However, both the negative and positive numbers might not be solutions to whatever problem you are solving. The one that does not work is called the extraneous solution. After you have found the solutions to your problem, you may have found one, two or more different possible values for the variable. You need to check each of these in the original problem to see which work. Remember that the original problem here was x−1+4=x−3{\displaystyle {\sqrt {x-1}}+4=x-3}.  First check the solution x=5{\displaystyle x=5}:  x−1+4=x−3{\displaystyle {\sqrt {x-1}}+4=x-3}  5−1+4=5−3{\displaystyle {\sqrt {5-1}}+4=5-3} ………. (substitute 5 for x) 4+4=5−3{\displaystyle {\sqrt {4}}+4=5-3} 2+4=5−3{\displaystyle 2+4=5-3}  6=2{\displaystyle 6=2}. Because your result is an incorrect statement, the original solution of x=5{\displaystyle x=5} must be an extraneous solution that was caused by the squaring process.   Check the second solution x=10{\displaystyle x=10}:  x−1+4=x−3{\displaystyle {\sqrt {x-1}}+4=x-3} 10−1+4=10−3{\displaystyle {\sqrt {10-1}}+4=10-3} 9+4=10−3{\displaystyle {\sqrt {9}}+4=10-3} 3+4=10−3{\displaystyle 3+4=10-3} 7=7{\displaystyle 7=7} In this case, you get a true statement. This shows that the solution x=10{\displaystyle x=10} is a true solution to the original problem. The extraneous solution is incorrect and can be discarded. Whatever remains is the answer to your problem. In this case, you would report that x=10{\displaystyle x=10}.

summary: Recognize the potential for an extraneous solution. Test each of your solutions in the original problem. Discard the extraneous solution and report your result.


Summarize the following:
Go to Facebook’s home page. Enter your registered email address and password in the fields at the top right corner of the home page. Then click on the “Log in” button to access to your user account. To make an existing group closed, you need to browse the homepage of that group and edit the privacy settings. Remember, a group consisting of 250 members or more can change its privacy setting from “Open” to “Closed,” but not “Secret” to “Closed.”  Go to Your Group page. You will find here the list of all the groups you created at the top, under the “Groups You Manage” title. Click on the selected group name link to browse its home page. To make an existing group “Closed,” you must access to the Group Settings page. You can reach at the Group Settings page of a group either from the Your Groups page or from the group’s home page.  To go to the Group Settings page of a group from the Your Groups page, click on the setting icon on the right side, next to the “Add to favorite” button. Click on the “Edit group settings” tab in drop-down menu to reach at the Group settings page. To go to the Group Settings page from the group home page, click on “Menu” button at the bottom right corner of the group cover image and select the “Edit group settings” tab in drop-down menu. On Group Settings page, click on the “Closed” radio button under “Privacy.” When you are done, click on the “Save” button at the bottom of the page to make this group “Closed.” The setting will be updated with a notification “Your changes have been saved” at the top of the page.

summary: Log into your Facebook user account. Browse your list of existing groups. Access the group’s privacy setting. Edit the privacy settings of the group.


Summarize the following:
Associate systems engineer will probably be your first job title. Search online for openings and check the websites of companies in your industry. Become a member of the International Council on Systems Engineering (INCOSE) to access job postings and networking and professional development opportunities: http://www.incose.org/about/Membership. Look for open positions where you’ve interned. Your connections at those companies could give you a better chance of landing a job. Your resume needs to show how you’ve developed the skills listed in a specific opening’s job description. A section that lists your skills and program proficiencies is helpful. However, you’ll want to include concise examples in your resume’s experience section that explain how you’ve developed and applied those skills.  Include action words in your descriptions. For instance, write that as a software engineer you “Designed, implemented, and monitored booking and accounting software,” or “Improved processing performance by optimizing database applications.” If you’re in school, get help crafting your resume from your department and the office of career services. Whether or not you’re still in school, have someone with engineering experience read your resume, like a former professor or supervisor. When you get a call for an interview, start researching the immediately. Learn about its history and values, how they fit into the industry at large, and how they manufacture a product or develop software. Look for specific things that you could improve or contributions you could make. Think about how you could streamline a manufacturing process or efficiently lead a team. Attention to detail, leadership, confidence, and the ability to see the big picture are key traits of a good systems engineer. A resume alone won’t translate these qualities. During your interview, you have to convey that you can identify a problem, lead a group of diverse people to design a solution, foresee the best ways of implementing the solution, and correct any problems that arise. When you practice for your interview, prepare responses to potential questions that detail how you’ve handled obstacles, managed a team, and engaged a range of engineering fields.
summary: Search for associate systems engineer openings. Tailor your resume to each job application. Research a company thoroughly before an interview. Stress your desirable personal characteristics during an interview.