find all points having an x coordinate of 15 whose distance from (9, -2) is 10

Let the point be (15,y)

then (15-9)^2+(y+2)^2 =100

36+(y+2)^2 =100

(y+2)^2 =100-36 =64

(y+2) =8 or (y+2) =-8

y=-2+8=6 or

y=-2-8= -10

Thus the points are (15,6) and (15,-10) having distance 10 with the point (9,-2)

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