Determine the set of solutions for
Hint: Try to find an equation in form of a general Circle.
Seriously i have no idea.. im quite good in complex numbers, but this is somehow hard for me
Hello, coobe!
Let be a solution to the equation.Determine the set of solutions for: .
Hint: Try to find an equation in form of a general circle.
is the distance of point from point
is the distance of point from point
We are told that: .
. . Hence: .
Square and expand: .
Simplify: .
Complete the square: .
Therefore: .
. . The solution is a circle with center and radius 4.
Note: It is known as the Circle of Apollonius.
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