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Write in graphing form x^2 + 10x + y^2 - 6y = 2


Sagot :

9514 1404 393

Answer:

  (x +5)^2 +(y -3)^2 = 36

Step-by-step explanation:

Add the squares of half the linear term coefficients, then rewrite using squares. You get the standard form equation of a circle.

  x^2 +10x +y^2 -6y = 2

  (x^2 +10x +5^2) +(y^2 -6x +(-3)^2) = 2 +5^2 +(-3)^

  (x +5)^2 +(y -3)^2 = 36 . . . . . circle centered at (-5, 3) with radius 6

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