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The center of the circle x^2 + y^2 = 8x - 16y - 34 with equation is the point (x,y). What is x + y?

 Oct 23, 2020
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x^2 - 8x       + y^2 + 16y       = - 34         'complete the square ' for x and y

(x-4)2            (y+8)2                = -34 + 16 + 64

 

this is circle in form   (x-h)^2  + (y-k)^2   = r^2    form      center is    h, k          take it from here !   cheeky

 Oct 23, 2020

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