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77julia77 [94]
2 years ago
10

X2+ y2 - 8x - 12y + 27 = 0 Center: Radius:

Mathematics
2 answers:
Rainbow [258]2 years ago
8 0

Answer:

Give George brainliest!

Step-by-step explanation:

Serhud [2]2 years ago
3 0

Answer:

Step-by-step explanation:

You have:

x^2+y^2-8x+27=0

Since the variable 'x' appears twice, I am going to choose to group together the terms as to create a 2nd degree trinomial:

(x^2-8x+27)+y^2=0

This allows us to complete the square and factor the trinomial:

(x^2-8x+16-16+27)+y^2=0

(x^2-8x+16)+11+y^2=0

(x-4)^2+y^2+11=0

(x-4)^2+(y-0)^2=-11

This is not a valid circle equation in the real plane. It has a complex radius of:

r=i\sqrt{11}

And is centered at the point:

(4,0)

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