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What is the standard form equation of the circle given below?y2 + 2x + x2 = 24y − 120

What is the standard form equation of the circle given below?y2 + 2x + x2 = 24y − 120-example-1
User Yama
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1 Answer

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Given the standar form of the circle


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

and given the expression


y^2+2x+x^2=24y−120
y^2+2x+x^2-24y+120=0
(x^2+2x)+(y^2-24y)+120=0
(x^2+2x+1)+(y^2-24y+144)-25=0
(x+1)^2+(y-12)^2=25
(x-(-1))^2+(y-12)^2=5^2

the circumference have r=5

and center in (-1 , 12)

User Maxwell Collard
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