SOLUTION: If the point which is equidistant from the poimts(10,0),(0,-10)and(-8,6) is (x,y), then prove x=0, y=0.
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Question 1052904: If the point which is equidistant from the poimts(10,0),(0,-10)and(-8,6) is (x,y), then prove x=0, y=0.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Use the distance formula:
^2\ +\ (y_1\ -\ y_2)^2})
^2\ +\ (0\ -\ y)^2}\ =\ \sqrt{(-8\ -\ x)^2\ +\ (6\ -\ y)^2})
^2\ +\ (0\ -\ y)^2}\ =\ \sqrt{(-8\ -\ x)^2\ +\ (6\ -\ y)^2})
^2\ +\ (0\ -\ y)^2}\ =\ \sqrt{(-10\ -\ x)^2\ +\ (0\ -\ y)^2})
Solve the system for 
and 
. Hint: Square both sides of each equation, expand the binomials, eliminate terms common to both sides, and see what you have left.
John
My calculator said it, I believe it, that settles it
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