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For what value of c will the circle with equation x^2 + 6x + y^2 - 4y + c = 0 have a radius of length 14?

 Sep 28, 2021
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Complete the square for x and y

 

(x+3)^2     +   (y-2)^2    =   - c  +9  +4             The red part = radius2    ( which = 142)       solve for c

 Sep 28, 2021

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