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What is the center and radius of -10x = -121 - y2 - x2 -22y

User Ndoc
by
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1 Answer

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We need to find the center and the radius of


-10x\: =\: -121\: -\: y^2\: -\: x^2\: -22y

The general circle equation is the following


(x-h)^2+(y-k)^2=r^2

where

(h,k) is the center and

r is the radius

1. rearrange the equation


(x^2-10x)+(y^2+22y+121)=0

2. Add 25 on both sides


(x^2-10x+25)+(y^2+22y+121)=25

3. Factor


(x-5)^2+(y+11)^2=5^2

Now we have an equation that is very similar to the circle equation, so let's compare them

Center -> (h,k) = (5,-11)

radius -> r = 5

User Rainabba
by
8.2k points

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