Question

Please Help Me!!
The equation of a given circle in general form is x2+ y2 − 8x + 12y + 27 = 0. Write the equation in standard form,
(x − h)2 + (y - k)2 = r2, by completing the squares in the equation.

Answer 1

HI!!

Answer 2

first step to make it easier is to write \[x^2-8x+y^2+12y=-27\]

Answer 3

what is half of 8?

Answer 4

okay

Answer 5

4

Answer 6

ok so we go right to \[(x-4)^2+y^2+12y=-24+4^2\] that takes care of the \(x\) term
now what is half of 12?

Answer 7

6

Answer 8

Cassandra: Just so that you know, the correct approach is "completing the square." You'll need to know this method by name in the future.

Answer 9

good, so repeating with the y term we get
\[(x-4)^2+(y+6)^2=-27+4^2+6^6\]
of course you still have to compute the right hand side of the equal sign
this is how you complete the square

Answer 10

okay thank you very much

Answer 11

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