x2 + y2 + 10x − 14y + 65 = 0

label Mathematics
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schedule 1 Day
account_balance_wallet $5

Find the center and the radius of the given circle.

Jun 6th, 2015

Thank you for the opportunity to help you with your question!

x^2 + y^2 + 10x − 14y + 65 = 0

x^2+10x+25+y^2-14y+49-(25+49)+65=0
(x+5)^2+(y-7)^2=25+49-65=9
thus the center is (-5,7), radius is 3

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 6th, 2015

how did you get the 49 and 65


Jun 6th, 2015

49 because (-14/2)^2=49

65 because 65 is in the original problem

Jun 6th, 2015

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