Question 976523
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.
{{{(x-1)^2 + (y-2)^2 = 17^2}}}
Find points on the circle that intersect with y = -6
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{{{(x-1)^2 + (y-2)^2 = 17^2}}}
Sub y = -6
{{{(x-1)^2 + (-6-2)^2 = 17^2}}}
{{{x^2 - 2x + 1 + 64 = 289}}}
{{{x^2 - 2x - 224 = 0}}}
(x - 16)*(x + 14) = 0
x = -14 --> (-14,-6) *************************
x = 16 ---> (16,-6) **************************