SOLUTION: a. find the center (h,k) and radius r of each circle; b, find the intercepts, if any 2x^2+2y^2+8x+7=0

Algebra ->  Circles -> SOLUTION: a. find the center (h,k) and radius r of each circle; b, find the intercepts, if any 2x^2+2y^2+8x+7=0      Log On


   



Question 341961: a. find the center (h,k) and radius r of each circle; b, find the intercepts, if any
2x^2+2y^2+8x+7=0

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find the center (h,k) and radius r of each circle; b, find the intercepts, if any
2x^2+2y^2+8x+7=0
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2x^2+8x+(?)+ 2y^2 = -7+(?)
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Complete the square on the x-terms:
2(x^2+4x+4) + 2y^2 = -7+2*4
2(x+2)^2 + 2(y-0)^2 = 1
(x+2)^2 + (y-0)^2 = 1/2
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center: (-2,0)
radius = sqrt(1/2) = (1/2)sqrt(2)
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Cheers,
Stan H.