# Sum of Squares

Geometry Level pending

How many $$P$$ points that belong to the y-axis exist such that the distance from $$P$$ to $$A\left( -1,-3 \right)$$ squared plus, the distance from $$P$$ to $$B\left( -4,-2 \right)$$ squared is equal to 5?

$${ \left( { d }_{ PA } \right) }^{ 2 }+{ \left( { d }_{ PB } \right) }^{ 2 }\quad =\quad 5$$

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