x2 + y2 − 4x + 12y − 20 = 0 (x − 6)2 + (y − 4)2 = 56 x2 + y2 + 6x − 8y − 10 = 0 (x − 2)2 + (y + 6)2 = 60 3x2 + 3y2 + 12x + 18y − 15 = 0 (x + 2)2 + (y + 3)2 = 18 5x2 + 5y2 − 10x + 20y − 30 = 0 (x + 1)2 + (y − 6)2 = 46 2x2 + 2y2 − 24x − 16y − 8 = 0 x2 + y2 + 2x − 12y − 9 = 0 Pairs arrowBoth arrowBoth arrowBoth arrowBoth
1 answer:
For this case, what we must do is fill squares in all the expressions until we find the correct result. x2 + y2 − 4x + 12y − 20 = 0 x2 + y2 − 4x + 12y = 20 x2 − 4x + y2 + 12y = 20(x − 2)2 + (y + 6)2 = 60 3x2 + 3y2 + 12x + 18y − 15 = 0 x2 + y2 + 4x + 6y − 5 = 0 (x + 2)2 + (y + 3)2 = 18 2x2 + 2y2 − 24x − 16y − 8 = 0 x2 + y2 − 12x − 8y − 4 = 0 (x − 6)2 + (y − 4)2 = 56 x2 + y2 + 2x − 12y − 9 = 0 x2 + y2 + 2x - 12y = 9(x + 1)2 + (y − 6)2 = 46
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