SOLUTION: equidistant from the coordinates (3,-2), (-2,3) and (-6,-5)

Question 969935: equidistant from the coordinates (3,-2), (-2,3) and (-6,-5)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39623) (Show Source): You can put this solution on YOUR website!
You want to know the center of the circle which contains those three points?
You have the center at unknown point (x,y):

which is essentially three different equations.

Using the first two members,...

Using the last two members,...

Those green-bordered equations are the system which will give the coordinates for the center point of the circle.

Use 5 times the second equation, use Elimination at least part of the way.

Find x coordinate.

Coordinates for the center are outlined in RED.
Answer by MathTherapy(10555) (Show Source): You can put this solution on YOUR website!

equidistant from the coordinates (3,-2), (-2,3) and (-6,-5)

See problem # 969924, or solution # 592644.
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