SOLUTION: Find the value of c to make g^2-18g+c a perfect square

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Question 180369This question is from textbook
: Find the value of c to make g^2-18g+c a perfect square This question is from textbook

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
:g^2-18g+c
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lets set aside the c for a moment
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we are working with the x squared term and the x term when completing a square.
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here's how it works . Take the absolut value of the coefficient of the x term in our case the number is -18 , but again its the absolute value so we are working with 18. Now divide that value by 2. 18/2=9. Now we take that value, 9 in our case and square it. 9%5E2=81. We now have the number to complete the square
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g%5E2-18g%2Bhighlight%2881%29 see that number 81. That is the value of c
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we end up with
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%28g-9%29%5E2