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What is the area of the region defined by the equation $x^2+y^2 - 7 = 4y-14x+2x-6y+3$?

 Jan 15, 2024
 #1
avatar+129881 
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x^2  + 12x + y^2 + 2y =  10    complete the square on x,y

 

x^2 + 12x  + 36 + y^2 + 2y + 1 =  10 +36 + 1

 

(x + 6)^2 + ( y + 1)^2  =   47

 

47  = r^2

 

Area  = 

 

pi* r^2

 

47 pi

 

 

cool cool cool

 Jan 16, 2024

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