SOLUTION: find all points having y-coordinate of -6 whose distance is from the point (1,2) is 17.

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Question 665445: find all points having y-coordinate of -6 whose distance is from the point (1,2) is 17.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
(x,-6) (1,2)
d= sqrt%28%28y2-y1%29%5E2%2B%28x2-x1%29%5E2%29

17 = sqrt%28%282-%28-6%29%29%5E2%2B%281-x%29%5E2%29
17= sqrt%28%288%29%5E2%2B%281-2x%2Bx%5E2%29%29
square both sides
17^2= 8^2+1-2x+x^2
x^2-2x+64+1-289=0
x^2-2x-224=0
x^2-16x+14x-224=0
x(x-16)+14(x-16)=0
(x-16)(x+14)=0
x=16 OR -14
(16,-6) (-14,-6)