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Name the conic by finding its standard-f...

Name the conic by finding its standard-form equation.
`4x^(2)+4y^(2)-12x-20y-2=0`

Text Solution

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`4(x^(2)-3x+(9)/(4))+4(y^(2)--5y+(25)/(4))=2+9+25`
`4(x-(3)/(2))^(2)+4(y-(5)/(2))^(2)=36`
`(x-(3)/(2))^(2)+(y-(5)/(2))^(2)=9`
This is a circle with center `((3)/(2),(5)/(2))` and radius 3.
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