SOLUTION: find all points having a y cordinate of -6 whose disance from the point (1,2) is 17

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Question 976523: find all points having a y cordinate of -6 whose disance from the point (1,2) is 17
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
find all points having a y cordinate of -6 whose disance from the point (1,2) is 17
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All points a distance of 17 from the point (1,2) is a circle.
%28x-1%29%5E2+%2B+%28y-2%29%5E2+=+17%5E2
Find points on the circle that intersect with y = -6
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%28x-1%29%5E2+%2B+%28y-2%29%5E2+=+17%5E2
Sub y = -6
%28x-1%29%5E2+%2B+%28-6-2%29%5E2+=+17%5E2
x%5E2+-+2x+%2B+1+%2B+64+=+289
x%5E2+-+2x+-+224+=+0
(x - 16)*(x + 14) = 0
x = -14 --> (-14,-6) *************************
x = 16 ---> (16,-6) **************************


Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Unknown point (x,-6) is 17 units away from the point (1,2).

Distance Formula, or standard form Circle Formula.

The distance formula seems to be less complicated.
sqrt%28%28x-1%29%5E2%2B%28-6-2%29%5E2%29=17
Simplify that equation. Solve for x.