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Completing the square to find the center and radius?

don't really remember how to do it so here it is:

x^2 + 6x + y^2 - 2x = 6

center is (-3,1); radius = 4

i need the process/steps on how to do it

2 Answers

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  • Como
    Lv 7
    1 decade ago
    Favorite Answer

    I think that question should read as :-

    x² + 6x + y² - 2y = 6

    (x² + 6x + 9) + (y² - 2y + 1) = 6 + 9 + 1

    (x + 3)² + (y - 1)² = 16

    Centre (- 3,1)

    Radius 4

  • 1 decade ago

    x^2 +6x + ____ + y^2 -2x + ____ =6

    x^2 +6x +9 +y^2 -2x +1 =6 +9 +1 =16

    (the c terms are half the b terms squared)

    (x+3)^2 +(y-1)^2 =4^2

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