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avatar+773 

The graph of the equation
4x^2 - 12x + 4y^2 + 16y + 17 = -4x + 2y + 5
is a circle. Find the radius of the circle.

 Jan 27, 2025
 #1
avatar+130317 
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Simplify as

 

4x^2 - 8x + 4y^2 + 14y  =  -12             complete the sqiare on  x, y

 

4(x^2 - 2x + 1) + 4(y^2 + [7/2] y  + 49/ 16)  =   -12 + (4)(1)  + 4 (49/16)

 

4 ( x-1)^2  + 4(y + 7/2)^2 =  17/4

 

The radius =  sqrt (17)  / 2

 

cool cool cool

 Jan 27, 2025

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